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Finding the Fourth Proportional to 145,841.20, 218,761.80 and 52,334.80

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Solution

The fourth proportional to 145,841.20, 218,761.80 and 52,334.80 is: 78,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,841.20 : 218,761.80 = 52,334.80 : x
  2. Step 2: Convert to fraction form
    145,841.20/218,761.80 = 52,334.80/x
  3. Step 3: Cross multiply
    145,841.20x = 218,761.80 × 52,334.80
  4. Step 4: Simplify right side
    145,841.20x = 11,448,855,050.64
  5. Step 5: Solve for x
    x = 11,448,855,050.64/145,841.20
  6. Step 6: Final answer
    x = 78,502.20

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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.