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Finding the Fourth Proportional to 289,062.30, 433,593.45 and 102,092.70

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Solution

The fourth proportional to 289,062.30, 433,593.45 and 102,092.70 is: 153,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,062.30 : 433,593.45 = 102,092.70 : x
  2. Step 2: Convert to fraction form
    289,062.30/433,593.45 = 102,092.70/x
  3. Step 3: Cross multiply
    289,062.30x = 433,593.45 × 102,092.70
  4. Step 4: Simplify right side
    289,062.30x = 44,266,726,012.82
  5. Step 5: Solve for x
    x = 44,266,726,012.82/289,062.30
  6. Step 6: Final answer
    x = 153,139.05

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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.