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Finding the Fourth Proportional to 242,968.29, 364,449.80 and 83,042.70

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Solution

The fourth proportional to 242,968.29, 364,449.80 and 83,042.70 is: 124,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,968.29 : 364,449.80 = 83,042.70 : x
  2. Step 2: Convert to fraction form
    242,968.29/364,449.80 = 83,042.70/x
  3. Step 3: Cross multiply
    242,968.29x = 364,449.80 × 83,042.70
  4. Step 4: Simplify right side
    242,968.29x = 30,264,895,614.07
  5. Step 5: Solve for x
    x = 30,264,895,614.07/242,968.29
  6. Step 6: Final answer
    x = 124,563.15

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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.