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Finding the Fourth Proportional to 191,287.12, 286,928.34 and 86,031.76

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Solution

The fourth proportional to 191,287.12, 286,928.34 and 86,031.76 is: 129,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,287.12 : 286,928.34 = 86,031.76 : x
  2. Step 2: Convert to fraction form
    191,287.12/286,928.34 = 86,031.76/x
  3. Step 3: Cross multiply
    191,287.12x = 286,928.34 × 86,031.76
  4. Step 4: Simplify right side
    191,287.12x = 24,684,950,084.08
  5. Step 5: Solve for x
    x = 24,684,950,084.08/191,287.12
  6. Step 6: Final answer
    x = 129,046.59

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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.