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Finding the Fourth Proportional to 242,347.20, 362,743.20 and 172,363.20

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Solution

The fourth proportional to 242,347.20, 362,743.20 and 172,363.20 is: 257,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,347.20 : 362,743.20 = 172,363.20 : x
  2. Step 2: Convert to fraction form
    242,347.20/362,743.20 = 172,363.20/x
  3. Step 3: Cross multiply
    242,347.20x = 362,743.20 × 172,363.20
  4. Step 4: Simplify right side
    242,347.20x = 62,523,578,730.24
  5. Step 5: Solve for x
    x = 62,523,578,730.24/242,347.20
  6. Step 6: Final answer
    x = 257,991.75

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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.