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Finding the Fourth Proportional to 152,407.98, 228,101.94 and 150,391.71

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Solution

The fourth proportional to 152,407.98, 228,101.94 and 150,391.71 is: 225,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,407.98 : 228,101.94 = 150,391.71 : x
  2. Step 2: Convert to fraction form
    152,407.98/228,101.94 = 150,391.71/x
  3. Step 3: Cross multiply
    152,407.98x = 228,101.94 × 150,391.71
  4. Step 4: Simplify right side
    152,407.98x = 34,304,640,810.92
  5. Step 5: Solve for x
    x = 34,304,640,810.92/152,407.98
  6. Step 6: Final answer
    x = 225,084.28

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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.