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Finding the Fourth Proportional to 103,500.70, 155,221 and 40,306.70

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Solution

The fourth proportional to 103,500.70, 155,221 and 40,306.70 is: 60,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,500.70 : 155,221 = 40,306.70 : x
  2. Step 2: Convert to fraction form
    103,500.70/155,221 = 40,306.70/x
  3. Step 3: Cross multiply
    103,500.70x = 155,221 × 40,306.70
  4. Step 4: Simplify right side
    103,500.70x = 6,256,446,280.70
  5. Step 5: Solve for x
    x = 6,256,446,280.70/103,500.70
  6. Step 6: Final answer
    x = 60,448.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.