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Finding the Fourth Proportional to 116,229.95, 159,894 and 101,824.91

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Solution

The fourth proportional to 116,229.95, 159,894 and 101,824.91 is: 140,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,229.95 : 159,894 = 101,824.91 : x
  2. Step 2: Convert to fraction form
    116,229.95/159,894 = 101,824.91/x
  3. Step 3: Cross multiply
    116,229.95x = 159,894 × 101,824.91
  4. Step 4: Simplify right side
    116,229.95x = 16,281,192,159.54
  5. Step 5: Solve for x
    x = 16,281,192,159.54/116,229.95
  6. Step 6: Final answer
    x = 140,077.43

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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.