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Finding the Fourth Proportional to 119,580.96, 164,923.56 and 87,279.24

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Solution

The fourth proportional to 119,580.96, 164,923.56 and 87,279.24 is: 120,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,580.96 : 164,923.56 = 87,279.24 : x
  2. Step 2: Convert to fraction form
    119,580.96/164,923.56 = 87,279.24/x
  3. Step 3: Cross multiply
    119,580.96x = 164,923.56 × 87,279.24
  4. Step 4: Simplify right side
    119,580.96x = 14,394,402,974.89
  5. Step 5: Solve for x
    x = 14,394,402,974.89/119,580.96
  6. Step 6: Final answer
    x = 120,373.70

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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.