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Finding the Fourth Proportional to 253,033.98, 379,244.08 and 185,851.16

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Solution

The fourth proportional to 253,033.98, 379,244.08 and 185,851.16 is: 278,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,033.98 : 379,244.08 = 185,851.16 : x
  2. Step 2: Convert to fraction form
    253,033.98/379,244.08 = 185,851.16/x
  3. Step 3: Cross multiply
    253,033.98x = 379,244.08 × 185,851.16
  4. Step 4: Simplify right side
    253,033.98x = 70,482,952,191.13
  5. Step 5: Solve for x
    x = 70,482,952,191.13/253,033.98
  6. Step 6: Final answer
    x = 278,551.33

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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.