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Finding the Fourth Proportional to 160,486.46, 221,470.92 and 92,502.88

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Solution

The fourth proportional to 160,486.46, 221,470.92 and 92,502.88 is: 127,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,486.46 : 221,470.92 = 92,502.88 : x
  2. Step 2: Convert to fraction form
    160,486.46/221,470.92 = 92,502.88/x
  3. Step 3: Cross multiply
    160,486.46x = 221,470.92 × 92,502.88
  4. Step 4: Simplify right side
    160,486.46x = 20,486,697,936.25
  5. Step 5: Solve for x
    x = 20,486,697,936.25/160,486.46
  6. Step 6: Final answer
    x = 127,653.75

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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.