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Finding the Fourth Proportional to 148,763.24, 205,293.12 and 81,695.24

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Solution

The fourth proportional to 148,763.24, 205,293.12 and 81,695.24 is: 112,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,763.24 : 205,293.12 = 81,695.24 : x
  2. Step 2: Convert to fraction form
    148,763.24/205,293.12 = 81,695.24/x
  3. Step 3: Cross multiply
    148,763.24x = 205,293.12 × 81,695.24
  4. Step 4: Simplify right side
    148,763.24x = 16,771,470,708.75
  5. Step 5: Solve for x
    x = 16,771,470,708.75/148,763.24
  6. Step 6: Final answer
    x = 112,739.35

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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.