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Finding the Fourth Proportional to 223,414.90, 335,122.35 and 156,930.10

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Solution

The fourth proportional to 223,414.90, 335,122.35 and 156,930.10 is: 235,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,414.90 : 335,122.35 = 156,930.10 : x
  2. Step 2: Convert to fraction form
    223,414.90/335,122.35 = 156,930.10/x
  3. Step 3: Cross multiply
    223,414.90x = 335,122.35 × 156,930.10
  4. Step 4: Simplify right side
    223,414.90x = 52,590,783,897.74
  5. Step 5: Solve for x
    x = 52,590,783,897.74/223,414.90
  6. Step 6: Final answer
    x = 235,395.15

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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.