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Finding the Fourth Proportional to 224,746.88, 310,160.13 and 129,253.65

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Solution

The fourth proportional to 224,746.88, 310,160.13 and 129,253.65 is: 178,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,746.88 : 310,160.13 = 129,253.65 : x
  2. Step 2: Convert to fraction form
    224,746.88/310,160.13 = 129,253.65/x
  3. Step 3: Cross multiply
    224,746.88x = 310,160.13 × 129,253.65
  4. Step 4: Simplify right side
    224,746.88x = 40,089,329,565.37
  5. Step 5: Solve for x
    x = 40,089,329,565.37/224,746.88
  6. Step 6: Final answer
    x = 178,375.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.