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Finding the Fourth Proportional to 257,801, 386,685.96 and 153,285.08

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Solution

The fourth proportional to 257,801, 386,685.96 and 153,285.08 is: 229,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,801 : 386,685.96 = 153,285.08 : x
  2. Step 2: Convert to fraction form
    257,801/386,685.96 = 153,285.08/x
  3. Step 3: Cross multiply
    257,801x = 386,685.96 × 153,285.08
  4. Step 4: Simplify right side
    257,801x = 59,273,188,313.48
  5. Step 5: Solve for x
    x = 59,273,188,313.48/257,801
  6. Step 6: Final answer
    x = 229,918.38

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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.