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Finding the Fourth Proportional to 252,003.30, 377,494.65 and 156,941.70

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Solution

The fourth proportional to 252,003.30, 377,494.65 and 156,941.70 is: 235,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,003.30 : 377,494.65 = 156,941.70 : x
  2. Step 2: Convert to fraction form
    252,003.30/377,494.65 = 156,941.70/x
  3. Step 3: Cross multiply
    252,003.30x = 377,494.65 × 156,941.70
  4. Step 4: Simplify right side
    252,003.30x = 59,244,652,111.91
  5. Step 5: Solve for x
    x = 59,244,652,111.91/252,003.30
  6. Step 6: Final answer
    x = 235,094.75

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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.