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Finding the Fourth Proportional to 191,742.90, 287,611.65 and 86,561.70

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Solution

The fourth proportional to 191,742.90, 287,611.65 and 86,561.70 is: 129,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,742.90 : 287,611.65 = 86,561.70 : x
  2. Step 2: Convert to fraction form
    191,742.90/287,611.65 = 86,561.70/x
  3. Step 3: Cross multiply
    191,742.90x = 287,611.65 × 86,561.70
  4. Step 4: Simplify right side
    191,742.90x = 24,896,153,363.81
  5. Step 5: Solve for x
    x = 24,896,153,363.81/191,742.90
  6. Step 6: Final answer
    x = 129,841.33

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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.