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Finding the Fourth Proportional to 148,417.92, 204,826.80 and 83,864.80

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Solution

The fourth proportional to 148,417.92, 204,826.80 and 83,864.80 is: 115,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,417.92 : 204,826.80 = 83,864.80 : x
  2. Step 2: Convert to fraction form
    148,417.92/204,826.80 = 83,864.80/x
  3. Step 3: Cross multiply
    148,417.92x = 204,826.80 × 83,864.80
  4. Step 4: Simplify right side
    148,417.92x = 17,177,758,616.64
  5. Step 5: Solve for x
    x = 17,177,758,616.64/148,417.92
  6. Step 6: Final answer
    x = 115,739.11

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1.5x scale

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.