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Finding the Fourth Proportional to 243,002.70, 364,394.70 and 93,193.20

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Solution

The fourth proportional to 243,002.70, 364,394.70 and 93,193.20 is: 139,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,002.70 : 364,394.70 = 93,193.20 : x
  2. Step 2: Convert to fraction form
    243,002.70/364,394.70 = 93,193.20/x
  3. Step 3: Cross multiply
    243,002.70x = 364,394.70 × 93,193.20
  4. Step 4: Simplify right side
    243,002.70x = 33,959,108,156.04
  5. Step 5: Solve for x
    x = 33,959,108,156.04/243,002.70
  6. Step 6: Final answer
    x = 139,747.86

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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.