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Finding the Fourth Proportional to 149,783.76, 206,701.92 and 81,801.24

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Solution

The fourth proportional to 149,783.76, 206,701.92 and 81,801.24 is: 112,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,783.76 : 206,701.92 = 81,801.24 : x
  2. Step 2: Convert to fraction form
    149,783.76/206,701.92 = 81,801.24/x
  3. Step 3: Cross multiply
    149,783.76x = 206,701.92 × 81,801.24
  4. Step 4: Simplify right side
    149,783.76x = 16,908,473,366.38
  5. Step 5: Solve for x
    x = 16,908,473,366.38/149,783.76
  6. Step 6: Final answer
    x = 112,885.89

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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.