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Finding the Fourth Proportional to 176,211.80, 264,428.89 and 75,009.70

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Solution

The fourth proportional to 176,211.80, 264,428.89 and 75,009.70 is: 112,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,211.80 : 264,428.89 = 75,009.70 : x
  2. Step 2: Convert to fraction form
    176,211.80/264,428.89 = 75,009.70/x
  3. Step 3: Cross multiply
    176,211.80x = 264,428.89 × 75,009.70
  4. Step 4: Simplify right side
    176,211.80x = 19,834,731,853.24
  5. Step 5: Solve for x
    x = 19,834,731,853.24/176,211.80
  6. Step 6: Final answer
    x = 112,561.88

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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.