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Finding the Fourth Proportional to 252,510.74, 378,751.26 and 94,725.98

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Solution

The fourth proportional to 252,510.74, 378,751.26 and 94,725.98 is: 142,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,510.74 : 378,751.26 = 94,725.98 : x
  2. Step 2: Convert to fraction form
    252,510.74/378,751.26 = 94,725.98/x
  3. Step 3: Cross multiply
    252,510.74x = 378,751.26 × 94,725.98
  4. Step 4: Simplify right side
    252,510.74x = 35,877,584,279.73
  5. Step 5: Solve for x
    x = 35,877,584,279.73/252,510.74
  6. Step 6: Final answer
    x = 142,083.40

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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.