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Finding the Fourth Proportional to 160,123.18, 220,970.85 and 87,526.17

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Solution

The fourth proportional to 160,123.18, 220,970.85 and 87,526.17 is: 120,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,123.18 : 220,970.85 = 87,526.17 : x
  2. Step 2: Convert to fraction form
    160,123.18/220,970.85 = 87,526.17/x
  3. Step 3: Cross multiply
    160,123.18x = 220,970.85 × 87,526.17
  4. Step 4: Simplify right side
    160,123.18x = 19,340,732,182.14
  5. Step 5: Solve for x
    x = 19,340,732,182.14/160,123.18
  6. Step 6: Final answer
    x = 120,786.59

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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.