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Finding the Fourth Proportional to 149,763.32, 224,644.34 and 38,955

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Solution

The fourth proportional to 149,763.32, 224,644.34 and 38,955 is: 58,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,763.32 : 224,644.34 = 38,955 : x
  2. Step 2: Convert to fraction form
    149,763.32/224,644.34 = 38,955/x
  3. Step 3: Cross multiply
    149,763.32x = 224,644.34 × 38,955
  4. Step 4: Simplify right side
    149,763.32x = 8,751,020,264.70
  5. Step 5: Solve for x
    x = 8,751,020,264.70/149,763.32
  6. Step 6: Final answer
    x = 58,432.33

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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.