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Finding the Fourth Proportional to 265,582.70, 398,373.49 and 83,227.50

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Solution

The fourth proportional to 265,582.70, 398,373.49 and 83,227.50 is: 124,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,582.70 : 398,373.49 = 83,227.50 : x
  2. Step 2: Convert to fraction form
    265,582.70/398,373.49 = 83,227.50/x
  3. Step 3: Cross multiply
    265,582.70x = 398,373.49 × 83,227.50
  4. Step 4: Simplify right side
    265,582.70x = 33,155,629,743.01
  5. Step 5: Solve for x
    x = 33,155,629,743.01/265,582.70
  6. Step 6: Final answer
    x = 124,841.08

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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.