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Finding the Fourth Proportional to 109,834.38, 151,571.52 and 59,533.38

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Solution

The fourth proportional to 109,834.38, 151,571.52 and 59,533.38 is: 82,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,834.38 : 151,571.52 = 59,533.38 : x
  2. Step 2: Convert to fraction form
    109,834.38/151,571.52 = 59,533.38/x
  3. Step 3: Cross multiply
    109,834.38x = 151,571.52 × 59,533.38
  4. Step 4: Simplify right side
    109,834.38x = 9,023,564,897.34
  5. Step 5: Solve for x
    x = 9,023,564,897.34/109,834.38
  6. Step 6: Final answer
    x = 82,156.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.