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Finding the Fourth Proportional to 145,708, 218,613.84 and 71,887.84

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Solution

The fourth proportional to 145,708, 218,613.84 and 71,887.84 is: 107,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,708 : 218,613.84 = 71,887.84 : x
  2. Step 2: Convert to fraction form
    145,708/218,613.84 = 71,887.84/x
  3. Step 3: Cross multiply
    145,708x = 218,613.84 × 71,887.84
  4. Step 4: Simplify right side
    145,708x = 15,715,676,751.71
  5. Step 5: Solve for x
    x = 15,715,676,751.71/145,708
  6. Step 6: Final answer
    x = 107,857.34

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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.