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Finding the Fourth Proportional to 242,713.04, 364,069.68 and 76,514

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Solution

The fourth proportional to 242,713.04, 364,069.68 and 76,514 is: 114,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,713.04 : 364,069.68 = 76,514 : x
  2. Step 2: Convert to fraction form
    242,713.04/364,069.68 = 76,514/x
  3. Step 3: Cross multiply
    242,713.04x = 364,069.68 × 76,514
  4. Step 4: Simplify right side
    242,713.04x = 27,856,427,495.52
  5. Step 5: Solve for x
    x = 27,856,427,495.52/242,713.04
  6. Step 6: Final answer
    x = 114,771.04

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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.