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Finding the Fourth Proportional to 365,097.30, 547,604.43 and 98,878.56

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Solution

The fourth proportional to 365,097.30, 547,604.43 and 98,878.56 is: 148,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,097.30 : 547,604.43 = 98,878.56 : x
  2. Step 2: Convert to fraction form
    365,097.30/547,604.43 = 98,878.56/x
  3. Step 3: Cross multiply
    365,097.30x = 547,604.43 × 98,878.56
  4. Step 4: Simplify right side
    365,097.30x = 54,146,337,488.02
  5. Step 5: Solve for x
    x = 54,146,337,488.02/365,097.30
  6. Step 6: Final answer
    x = 148,306.60

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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.