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Finding the Fourth Proportional to 191,901.60, 287,996.40 and 98,359.20

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Solution

The fourth proportional to 191,901.60, 287,996.40 and 98,359.20 is: 147,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,901.60 : 287,996.40 = 98,359.20 : x
  2. Step 2: Convert to fraction form
    191,901.60/287,996.40 = 98,359.20/x
  3. Step 3: Cross multiply
    191,901.60x = 287,996.40 × 98,359.20
  4. Step 4: Simplify right side
    191,901.60x = 28,327,095,506.88
  5. Step 5: Solve for x
    x = 28,327,095,506.88/191,901.60
  6. Step 6: Final answer
    x = 147,612.61

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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.