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Finding the Fourth Proportional to 251,646.89, 377,553.35 and 102,013.02

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Solution

The fourth proportional to 251,646.89, 377,553.35 and 102,013.02 is: 153,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,646.89 : 377,553.35 = 102,013.02 : x
  2. Step 2: Convert to fraction form
    251,646.89/377,553.35 = 102,013.02/x
  3. Step 3: Cross multiply
    251,646.89x = 377,553.35 × 102,013.02
  4. Step 4: Simplify right side
    251,646.89x = 38,515,357,699.65
  5. Step 5: Solve for x
    x = 38,515,357,699.65/251,646.89
  6. Step 6: Final answer
    x = 153,053.19

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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.