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Finding the Fourth Proportional to 165,737.82, 248,600.50 and 98,733.61

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Solution

The fourth proportional to 165,737.82, 248,600.50 and 98,733.61 is: 148,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,737.82 : 248,600.50 = 98,733.61 : x
  2. Step 2: Convert to fraction form
    165,737.82/248,600.50 = 98,733.61/x
  3. Step 3: Cross multiply
    165,737.82x = 248,600.50 × 98,733.61
  4. Step 4: Simplify right side
    165,737.82x = 24,545,224,812.81
  5. Step 5: Solve for x
    x = 24,545,224,812.81/165,737.82
  6. Step 6: Final answer
    x = 148,096.70

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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.