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Finding the Fourth Proportional to 158,306.66, 218,463.53 and 85,710.33

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Solution

The fourth proportional to 158,306.66, 218,463.53 and 85,710.33 is: 118,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,306.66 : 218,463.53 = 85,710.33 : x
  2. Step 2: Convert to fraction form
    158,306.66/218,463.53 = 85,710.33/x
  3. Step 3: Cross multiply
    158,306.66x = 218,463.53 × 85,710.33
  4. Step 4: Simplify right side
    158,306.66x = 18,724,580,820.71
  5. Step 5: Solve for x
    x = 18,724,580,820.71/158,306.66
  6. Step 6: Final answer
    x = 118,280.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.