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Finding the Fourth Proportional to 153,965.70, 231,121.35 and 119,060.10

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Solution

The fourth proportional to 153,965.70, 231,121.35 and 119,060.10 is: 178,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,965.70 : 231,121.35 = 119,060.10 : x
  2. Step 2: Convert to fraction form
    153,965.70/231,121.35 = 119,060.10/x
  3. Step 3: Cross multiply
    153,965.70x = 231,121.35 × 119,060.10
  4. Step 4: Simplify right side
    153,965.70x = 27,517,331,043.14
  5. Step 5: Solve for x
    x = 27,517,331,043.14/153,965.70
  6. Step 6: Final answer
    x = 178,723.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.