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Finding the Fourth Proportional to 191,376, 287,124.48 and 86,204.16

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Solution

The fourth proportional to 191,376, 287,124.48 and 86,204.16 is: 129,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,376 : 287,124.48 = 86,204.16 : x
  2. Step 2: Convert to fraction form
    191,376/287,124.48 = 86,204.16/x
  3. Step 3: Cross multiply
    191,376x = 287,124.48 × 86,204.16
  4. Step 4: Simplify right side
    191,376x = 24,751,324,613.84
  5. Step 5: Solve for x
    x = 24,751,324,613.84/191,376
  6. Step 6: Final answer
    x = 129,333.48

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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.