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Finding the Fourth Proportional to 104,710.54, 157,065.09 and 42,380.14

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Solution

The fourth proportional to 104,710.54, 157,065.09 and 42,380.14 is: 63,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,710.54 : 157,065.09 = 42,380.14 : x
  2. Step 2: Convert to fraction form
    104,710.54/157,065.09 = 42,380.14/x
  3. Step 3: Cross multiply
    104,710.54x = 157,065.09 × 42,380.14
  4. Step 4: Simplify right side
    104,710.54x = 6,656,440,503.31
  5. Step 5: Solve for x
    x = 6,656,440,503.31/104,710.54
  6. Step 6: Final answer
    x = 63,569.92

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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.