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Finding the Fourth Proportional to 155,284.61, 214,291.44 and 87,301.88

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Solution

The fourth proportional to 155,284.61, 214,291.44 and 87,301.88 is: 120,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,284.61 : 214,291.44 = 87,301.88 : x
  2. Step 2: Convert to fraction form
    155,284.61/214,291.44 = 87,301.88/x
  3. Step 3: Cross multiply
    155,284.61x = 214,291.44 × 87,301.88
  4. Step 4: Simplify right side
    155,284.61x = 18,708,044,508.45
  5. Step 5: Solve for x
    x = 18,708,044,508.45/155,284.61
  6. Step 6: Final answer
    x = 120,475.85

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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.