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Finding the Fourth Proportional to 150,569.64, 207,787.14 and 83,505.96

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Solution

The fourth proportional to 150,569.64, 207,787.14 and 83,505.96 is: 115,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,569.64 : 207,787.14 = 83,505.96 : x
  2. Step 2: Convert to fraction form
    150,569.64/207,787.14 = 83,505.96/x
  3. Step 3: Cross multiply
    150,569.64x = 207,787.14 × 83,505.96
  4. Step 4: Simplify right side
    150,569.64x = 17,351,464,601.35
  5. Step 5: Solve for x
    x = 17,351,464,601.35/150,569.64
  6. Step 6: Final answer
    x = 115,238.80

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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.