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Finding the Fourth Proportional to 176,211.57, 243,168.35 and 99,729.30

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Solution

The fourth proportional to 176,211.57, 243,168.35 and 99,729.30 is: 137,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,211.57 : 243,168.35 = 99,729.30 : x
  2. Step 2: Convert to fraction form
    176,211.57/243,168.35 = 99,729.30/x
  3. Step 3: Cross multiply
    176,211.57x = 243,168.35 × 99,729.30
  4. Step 4: Simplify right side
    176,211.57x = 24,251,009,740.89
  5. Step 5: Solve for x
    x = 24,251,009,740.89/176,211.57
  6. Step 6: Final answer
    x = 137,624.39

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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.