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Finding the Fourth Proportional to 229,069.40, 343,604.10 and 102,709.40

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Solution

The fourth proportional to 229,069.40, 343,604.10 and 102,709.40 is: 154,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,069.40 : 343,604.10 = 102,709.40 : x
  2. Step 2: Convert to fraction form
    229,069.40/343,604.10 = 102,709.40/x
  3. Step 3: Cross multiply
    229,069.40x = 343,604.10 × 102,709.40
  4. Step 4: Simplify right side
    229,069.40x = 35,291,370,948.54
  5. Step 5: Solve for x
    x = 35,291,370,948.54/229,069.40
  6. Step 6: Final answer
    x = 154,064.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.