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Finding the Fourth Proportional to 102,251.76, 153,385.83 and 35,690.41

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Solution

The fourth proportional to 102,251.76, 153,385.83 and 35,690.41 is: 53,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,251.76 : 153,385.83 = 35,690.41 : x
  2. Step 2: Convert to fraction form
    102,251.76/153,385.83 = 35,690.41/x
  3. Step 3: Cross multiply
    102,251.76x = 153,385.83 × 35,690.41
  4. Step 4: Simplify right side
    102,251.76x = 5,474,403,160.89
  5. Step 5: Solve for x
    x = 5,474,403,160.89/102,251.76
  6. Step 6: Final answer
    x = 53,538.47

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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.