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Finding the Fourth Proportional to 152,844.80, 229,072.80 and 136,126.40

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Solution

The fourth proportional to 152,844.80, 229,072.80 and 136,126.40 is: 204,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,844.80 : 229,072.80 = 136,126.40 : x
  2. Step 2: Convert to fraction form
    152,844.80/229,072.80 = 136,126.40/x
  3. Step 3: Cross multiply
    152,844.80x = 229,072.80 × 136,126.40
  4. Step 4: Simplify right side
    152,844.80x = 31,182,855,601.92
  5. Step 5: Solve for x
    x = 31,182,855,601.92/152,844.80
  6. Step 6: Final answer
    x = 204,016.46

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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.