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Finding the Fourth Proportional to 142,287.84, 213,446.34 and 63,395.46

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Solution

The fourth proportional to 142,287.84, 213,446.34 and 63,395.46 is: 95,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,287.84 : 213,446.34 = 63,395.46 : x
  2. Step 2: Convert to fraction form
    142,287.84/213,446.34 = 63,395.46/x
  3. Step 3: Cross multiply
    142,287.84x = 213,446.34 × 63,395.46
  4. Step 4: Simplify right side
    142,287.84x = 13,531,528,909.62
  5. Step 5: Solve for x
    x = 13,531,528,909.62/142,287.84
  6. Step 6: Final answer
    x = 95,099.69

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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.