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Finding the Fourth Proportional to 158,809.14, 219,158.44 and 87,187.61

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Solution

The fourth proportional to 158,809.14, 219,158.44 and 87,187.61 is: 120,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,809.14 : 219,158.44 = 87,187.61 : x
  2. Step 2: Convert to fraction form
    158,809.14/219,158.44 = 87,187.61/x
  3. Step 3: Cross multiply
    158,809.14x = 219,158.44 × 87,187.61
  4. Step 4: Simplify right side
    158,809.14x = 19,107,900,924.86
  5. Step 5: Solve for x
    x = 19,107,900,924.86/158,809.14
  6. Step 6: Final answer
    x = 120,319.91

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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.