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Finding the Fourth Proportional to 148,005.38, 204,089.72 and 119,294.87

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Solution

The fourth proportional to 148,005.38, 204,089.72 and 119,294.87 is: 164,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,005.38 : 204,089.72 = 119,294.87 : x
  2. Step 2: Convert to fraction form
    148,005.38/204,089.72 = 119,294.87/x
  3. Step 3: Cross multiply
    148,005.38x = 204,089.72 × 119,294.87
  4. Step 4: Simplify right side
    148,005.38x = 24,346,854,998.81
  5. Step 5: Solve for x
    x = 24,346,854,998.81/148,005.38
  6. Step 6: Final answer
    x = 164,499.79

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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.