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Finding the Fourth Proportional to 191,402.02, 287,103.12 and 86,097.96

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Solution

The fourth proportional to 191,402.02, 287,103.12 and 86,097.96 is: 129,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,402.02 : 287,103.12 = 86,097.96 : x
  2. Step 2: Convert to fraction form
    191,402.02/287,103.12 = 86,097.96/x
  3. Step 3: Cross multiply
    191,402.02x = 287,103.12 × 86,097.96
  4. Step 4: Simplify right side
    191,402.02x = 24,718,992,941.64
  5. Step 5: Solve for x
    x = 24,718,992,941.64/191,402.02
  6. Step 6: Final answer
    x = 129,146.98

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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.