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Finding the Fourth Proportional to 133,068.40, 199,894.20 and 98,231.92

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Solution

The fourth proportional to 133,068.40, 199,894.20 and 98,231.92 is: 147,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,068.40 : 199,894.20 = 98,231.92 : x
  2. Step 2: Convert to fraction form
    133,068.40/199,894.20 = 98,231.92/x
  3. Step 3: Cross multiply
    133,068.40x = 199,894.20 × 98,231.92
  4. Step 4: Simplify right side
    133,068.40x = 19,635,991,062.86
  5. Step 5: Solve for x
    x = 19,635,991,062.86/133,068.40
  6. Step 6: Final answer
    x = 147,563.14

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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.