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Finding the Fourth Proportional to 160,097.60, 220,836.74 and 102,717.38

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Solution

The fourth proportional to 160,097.60, 220,836.74 and 102,717.38 is: 141,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,097.60 : 220,836.74 = 102,717.38 : x
  2. Step 2: Convert to fraction form
    160,097.60/220,836.74 = 102,717.38/x
  3. Step 3: Cross multiply
    160,097.60x = 220,836.74 × 102,717.38
  4. Step 4: Simplify right side
    160,097.60x = 22,683,769,722.77
  5. Step 5: Solve for x
    x = 22,683,769,722.77/160,097.60
  6. Step 6: Final answer
    x = 141,687.14

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Why These Related Problems?

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