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Finding the Fourth Proportional to 278,573.34, 418,062.92 and 101,094.65

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Solution

The fourth proportional to 278,573.34, 418,062.92 and 101,094.65 is: 151,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,573.34 : 418,062.92 = 101,094.65 : x
  2. Step 2: Convert to fraction form
    278,573.34/418,062.92 = 101,094.65/x
  3. Step 3: Cross multiply
    278,573.34x = 418,062.92 × 101,094.65
  4. Step 4: Simplify right side
    278,573.34x = 42,263,924,575.38
  5. Step 5: Solve for x
    x = 42,263,924,575.38/278,573.34
  6. Step 6: Final answer
    x = 151,715.61

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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.