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Finding the Fourth Proportional to 101,787.83, 152,657.14 and 42,667.75

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Solution

The fourth proportional to 101,787.83, 152,657.14 and 42,667.75 is: 63,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,787.83 : 152,657.14 = 42,667.75 : x
  2. Step 2: Convert to fraction form
    101,787.83/152,657.14 = 42,667.75/x
  3. Step 3: Cross multiply
    101,787.83x = 152,657.14 × 42,667.75
  4. Step 4: Simplify right side
    101,787.83x = 6,513,536,685.24
  5. Step 5: Solve for x
    x = 6,513,536,685.24/101,787.83
  6. Step 6: Final answer
    x = 63,991.31

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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.