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Finding the Fourth Proportional to 81,432.30, 122,148.45 and 81,432.30

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Solution

The fourth proportional to 81,432.30, 122,148.45 and 81,432.30 is: 122,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,432.30 : 122,148.45 = 81,432.30 : x
  2. Step 2: Convert to fraction form
    81,432.30/122,148.45 = 81,432.30/x
  3. Step 3: Cross multiply
    81,432.30x = 122,148.45 × 81,432.30
  4. Step 4: Simplify right side
    81,432.30x = 9,946,829,224.94
  5. Step 5: Solve for x
    x = 9,946,829,224.94/81,432.30
  6. Step 6: Final answer
    x = 122,148.45

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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.