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Finding the Fourth Proportional to 152,123.82, 209,866.59 and 101,839.02

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Solution

The fourth proportional to 152,123.82, 209,866.59 and 101,839.02 is: 140,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,123.82 : 209,866.59 = 101,839.02 : x
  2. Step 2: Convert to fraction form
    152,123.82/209,866.59 = 101,839.02/x
  3. Step 3: Cross multiply
    152,123.82x = 209,866.59 × 101,839.02
  4. Step 4: Simplify right side
    152,123.82x = 21,372,607,856.34
  5. Step 5: Solve for x
    x = 21,372,607,856.34/152,123.82
  6. Step 6: Final answer
    x = 140,494.81

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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.