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Finding the Fourth Proportional to 229,228.70, 343,843.05 and 96,064.70

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Solution

The fourth proportional to 229,228.70, 343,843.05 and 96,064.70 is: 144,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,228.70 : 343,843.05 = 96,064.70 : x
  2. Step 2: Convert to fraction form
    229,228.70/343,843.05 = 96,064.70/x
  3. Step 3: Cross multiply
    229,228.70x = 343,843.05 × 96,064.70
  4. Step 4: Simplify right side
    229,228.70x = 33,031,179,445.34
  5. Step 5: Solve for x
    x = 33,031,179,445.34/229,228.70
  6. Step 6: Final answer
    x = 144,097.05

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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.