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Finding the Fourth Proportional to 272,047.64, 408,102.52 and 72,376.16

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Solution

The fourth proportional to 272,047.64, 408,102.52 and 72,376.16 is: 108,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,047.64 : 408,102.52 = 72,376.16 : x
  2. Step 2: Convert to fraction form
    272,047.64/408,102.52 = 72,376.16/x
  3. Step 3: Cross multiply
    272,047.64x = 408,102.52 × 72,376.16
  4. Step 4: Simplify right side
    272,047.64x = 29,536,893,283.92
  5. Step 5: Solve for x
    x = 29,536,893,283.92/272,047.64
  6. Step 6: Final answer
    x = 108,572.50

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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.