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Finding the Fourth Proportional to 312,273.55, 468,074.85 and 134,864.11

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Solution

The fourth proportional to 312,273.55, 468,074.85 and 134,864.11 is: 202,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,273.55 : 468,074.85 = 134,864.11 : x
  2. Step 2: Convert to fraction form
    312,273.55/468,074.85 = 134,864.11/x
  3. Step 3: Cross multiply
    312,273.55x = 468,074.85 × 134,864.11
  4. Step 4: Simplify right side
    312,273.55x = 63,126,498,058.63
  5. Step 5: Solve for x
    x = 63,126,498,058.63/312,273.55
  6. Step 6: Final answer
    x = 202,151.28

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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.