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Finding the Fourth Proportional to 157,364.62, 217,098.16 and 109,645.64

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Solution

The fourth proportional to 157,364.62, 217,098.16 and 109,645.64 is: 151,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364.62 : 217,098.16 = 109,645.64 : x
  2. Step 2: Convert to fraction form
    157,364.62/217,098.16 = 109,645.64/x
  3. Step 3: Cross multiply
    157,364.62x = 217,098.16 × 109,645.64
  4. Step 4: Simplify right side
    157,364.62x = 23,803,866,150.54
  5. Step 5: Solve for x
    x = 23,803,866,150.54/157,364.62
  6. Step 6: Final answer
    x = 151,265.68

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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.