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Finding the Fourth Proportional to 191,877.72, 287,913.78 and 129,417

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Solution

The fourth proportional to 191,877.72, 287,913.78 and 129,417 is: 194,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,877.72 : 287,913.78 = 129,417 : x
  2. Step 2: Convert to fraction form
    191,877.72/287,913.78 = 129,417/x
  3. Step 3: Cross multiply
    191,877.72x = 287,913.78 × 129,417
  4. Step 4: Simplify right side
    191,877.72x = 37,260,937,666.26
  5. Step 5: Solve for x
    x = 37,260,937,666.26/191,877.72
  6. Step 6: Final answer
    x = 194,191.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.