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Finding the Fourth Proportional to 149,098, 223,510.92 and 136,112.08

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Solution

The fourth proportional to 149,098, 223,510.92 and 136,112.08 is: 204,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,098 : 223,510.92 = 136,112.08 : x
  2. Step 2: Convert to fraction form
    149,098/223,510.92 = 136,112.08/x
  3. Step 3: Cross multiply
    149,098x = 223,510.92 × 136,112.08
  4. Step 4: Simplify right side
    149,098x = 30,422,536,223.91
  5. Step 5: Solve for x
    x = 30,422,536,223.91/149,098
  6. Step 6: Final answer
    x = 204,043.89

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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.