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Finding the Fourth Proportional to 191,909.56, 287,265.32 and 141,365.57

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Solution

The fourth proportional to 191,909.56, 287,265.32 and 141,365.57 is: 211,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,909.56 : 287,265.32 = 141,365.57 : x
  2. Step 2: Convert to fraction form
    191,909.56/287,265.32 = 141,365.57/x
  3. Step 3: Cross multiply
    191,909.56x = 287,265.32 × 141,365.57
  4. Step 4: Simplify right side
    191,909.56x = 40,609,424,996.20
  5. Step 5: Solve for x
    x = 40,609,424,996.20/191,909.56
  6. Step 6: Final answer
    x = 211,607.10

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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.