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Finding the Fourth Proportional to 107,680.44, 148,285.44 and 83,766.84

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Solution

The fourth proportional to 107,680.44, 148,285.44 and 83,766.84 is: 115,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,680.44 : 148,285.44 = 83,766.84 : x
  2. Step 2: Convert to fraction form
    107,680.44/148,285.44 = 83,766.84/x
  3. Step 3: Cross multiply
    107,680.44x = 148,285.44 × 83,766.84
  4. Step 4: Simplify right side
    107,680.44x = 12,421,402,726.81
  5. Step 5: Solve for x
    x = 12,421,402,726.81/107,680.44
  6. Step 6: Final answer
    x = 115,354.31

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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.