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Finding the Fourth Proportional to 157,462.92, 217,299.51 and 100,907.10

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Solution

The fourth proportional to 157,462.92, 217,299.51 and 100,907.10 is: 139,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,462.92 : 217,299.51 = 100,907.10 : x
  2. Step 2: Convert to fraction form
    157,462.92/217,299.51 = 100,907.10/x
  3. Step 3: Cross multiply
    157,462.92x = 217,299.51 × 100,907.10
  4. Step 4: Simplify right side
    157,462.92x = 21,927,063,385.52
  5. Step 5: Solve for x
    x = 21,927,063,385.52/157,462.92
  6. Step 6: Final answer
    x = 139,252.23

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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.