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Finding the Fourth Proportional to 252,185.83, 348,005.96 and 137,461.95

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Solution

The fourth proportional to 252,185.83, 348,005.96 and 137,461.95 is: 189,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,185.83 : 348,005.96 = 137,461.95 : x
  2. Step 2: Convert to fraction form
    252,185.83/348,005.96 = 137,461.95/x
  3. Step 3: Cross multiply
    252,185.83x = 348,005.96 × 137,461.95
  4. Step 4: Simplify right side
    252,185.83x = 47,837,577,873.22
  5. Step 5: Solve for x
    x = 47,837,577,873.22/252,185.83
  6. Step 6: Final answer
    x = 189,691.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.