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Finding the Fourth Proportional to 252,039.60, 378,051.30 and 83,567.70

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Solution

The fourth proportional to 252,039.60, 378,051.30 and 83,567.70 is: 125,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,039.60 : 378,051.30 = 83,567.70 : x
  2. Step 2: Convert to fraction form
    252,039.60/378,051.30 = 83,567.70/x
  3. Step 3: Cross multiply
    252,039.60x = 378,051.30 × 83,567.70
  4. Step 4: Simplify right side
    252,039.60x = 31,592,877,623.01
  5. Step 5: Solve for x
    x = 31,592,877,623.01/252,039.60
  6. Step 6: Final answer
    x = 125,348.86

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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.