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Finding the Fourth Proportional to 243,042.30, 364,563.45 and 148,563.90

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Solution

The fourth proportional to 243,042.30, 364,563.45 and 148,563.90 is: 222,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,042.30 : 364,563.45 = 148,563.90 : x
  2. Step 2: Convert to fraction form
    243,042.30/364,563.45 = 148,563.90/x
  3. Step 3: Cross multiply
    243,042.30x = 364,563.45 × 148,563.90
  4. Step 4: Simplify right side
    243,042.30x = 54,160,967,929.46
  5. Step 5: Solve for x
    x = 54,160,967,929.46/243,042.30
  6. Step 6: Final answer
    x = 222,845.85

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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.