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Finding the Fourth Proportional to 314,073.06, 471,049.48 and 121,947.48

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Solution

The fourth proportional to 314,073.06, 471,049.48 and 121,947.48 is: 182,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,073.06 : 471,049.48 = 121,947.48 : x
  2. Step 2: Convert to fraction form
    314,073.06/471,049.48 = 121,947.48/x
  3. Step 3: Cross multiply
    314,073.06x = 471,049.48 × 121,947.48
  4. Step 4: Simplify right side
    314,073.06x = 57,443,297,041.31
  5. Step 5: Solve for x
    x = 57,443,297,041.31/314,073.06
  6. Step 6: Final answer
    x = 182,897.88

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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.