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Finding the Fourth Proportional to 182,532, 252,009.70 and 125,267.16

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Solution

The fourth proportional to 182,532, 252,009.70 and 125,267.16 is: 172,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,532 : 252,009.70 = 125,267.16 : x
  2. Step 2: Convert to fraction form
    182,532/252,009.70 = 125,267.16/x
  3. Step 3: Cross multiply
    182,532x = 252,009.70 × 125,267.16
  4. Step 4: Simplify right side
    182,532x = 31,568,539,411.45
  5. Step 5: Solve for x
    x = 31,568,539,411.45/182,532
  6. Step 6: Final answer
    x = 172,947.97

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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.