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Finding the Fourth Proportional to 191,765.40, 287,645.40 and 86,584.20

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Solution

The fourth proportional to 191,765.40, 287,645.40 and 86,584.20 is: 129,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,765.40 : 287,645.40 = 86,584.20 : x
  2. Step 2: Convert to fraction form
    191,765.40/287,645.40 = 86,584.20/x
  3. Step 3: Cross multiply
    191,765.40x = 287,645.40 × 86,584.20
  4. Step 4: Simplify right side
    191,765.40x = 24,905,546,842.68
  5. Step 5: Solve for x
    x = 24,905,546,842.68/191,765.40
  6. Step 6: Final answer
    x = 129,875.08

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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.