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Finding the Fourth Proportional to 229,892.48, 317,397.38 and 157,416.65

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Solution

The fourth proportional to 229,892.48, 317,397.38 and 157,416.65 is: 217,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,892.48 : 317,397.38 = 157,416.65 : x
  2. Step 2: Convert to fraction form
    229,892.48/317,397.38 = 157,416.65/x
  3. Step 3: Cross multiply
    229,892.48x = 317,397.38 × 157,416.65
  4. Step 4: Simplify right side
    229,892.48x = 49,963,629,904.31
  5. Step 5: Solve for x
    x = 49,963,629,904.31/229,892.48
  6. Step 6: Final answer
    x = 217,334.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.