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Finding the Fourth Proportional to 101,569.02, 152,411.13 and 54,820.86

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Solution

The fourth proportional to 101,569.02, 152,411.13 and 54,820.86 is: 82,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,569.02 : 152,411.13 = 54,820.86 : x
  2. Step 2: Convert to fraction form
    101,569.02/152,411.13 = 54,820.86/x
  3. Step 3: Cross multiply
    101,569.02x = 152,411.13 × 54,820.86
  4. Step 4: Simplify right side
    101,569.02x = 8,355,309,220.17
  5. Step 5: Solve for x
    x = 8,355,309,220.17/101,569.02
  6. Step 6: Final answer
    x = 82,262.38

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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.