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Finding the Fourth Proportional to 135,124.16, 202,773.28 and 72,838.08

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Solution

The fourth proportional to 135,124.16, 202,773.28 and 72,838.08 is: 109,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,124.16 : 202,773.28 = 72,838.08 : x
  2. Step 2: Convert to fraction form
    135,124.16/202,773.28 = 72,838.08/x
  3. Step 3: Cross multiply
    135,124.16x = 202,773.28 × 72,838.08
  4. Step 4: Simplify right side
    135,124.16x = 14,769,616,390.50
  5. Step 5: Solve for x
    x = 14,769,616,390.50/135,124.16
  6. Step 6: Final answer
    x = 109,304.04

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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.