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Finding the Fourth Proportional to 229,064.50, 343,641.48 and 69,153.40

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Solution

The fourth proportional to 229,064.50, 343,641.48 and 69,153.40 is: 103,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,064.50 : 343,641.48 = 69,153.40 : x
  2. Step 2: Convert to fraction form
    229,064.50/343,641.48 = 69,153.40/x
  3. Step 3: Cross multiply
    229,064.50x = 343,641.48 × 69,153.40
  4. Step 4: Simplify right side
    229,064.50x = 23,763,976,723.03
  5. Step 5: Solve for x
    x = 23,763,976,723.03/229,064.50
  6. Step 6: Final answer
    x = 103,743.60

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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.