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Finding the Fourth Proportional to 103,463.89, 155,117.14 and 53,512.13

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Solution

The fourth proportional to 103,463.89, 155,117.14 and 53,512.13 is: 80,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,463.89 : 155,117.14 = 53,512.13 : x
  2. Step 2: Convert to fraction form
    103,463.89/155,117.14 = 53,512.13/x
  3. Step 3: Cross multiply
    103,463.89x = 155,117.14 × 53,512.13
  4. Step 4: Simplify right side
    103,463.89x = 8,300,648,814.92
  5. Step 5: Solve for x
    x = 8,300,648,814.92/103,463.89
  6. Step 6: Final answer
    x = 80,227.50

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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.