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Finding the Fourth Proportional to 191,951.76, 288,081.60 and 86,779.80

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Solution

The fourth proportional to 191,951.76, 288,081.60 and 86,779.80 is: 130,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,951.76 : 288,081.60 = 86,779.80 : x
  2. Step 2: Convert to fraction form
    191,951.76/288,081.60 = 86,779.80/x
  3. Step 3: Cross multiply
    191,951.76x = 288,081.60 × 86,779.80
  4. Step 4: Simplify right side
    191,951.76x = 24,999,663,631.68
  5. Step 5: Solve for x
    x = 24,999,663,631.68/191,951.76
  6. Step 6: Final answer
    x = 130,239.30

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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.