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Finding the Fourth Proportional to 160,694.85, 221,482.17 and 106,883.72

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Solution

The fourth proportional to 160,694.85, 221,482.17 and 106,883.72 is: 147,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,694.85 : 221,482.17 = 106,883.72 : x
  2. Step 2: Convert to fraction form
    160,694.85/221,482.17 = 106,883.72/x
  3. Step 3: Cross multiply
    160,694.85x = 221,482.17 × 106,883.72
  4. Step 4: Simplify right side
    160,694.85x = 23,672,838,243.27
  5. Step 5: Solve for x
    x = 23,672,838,243.27/160,694.85
  6. Step 6: Final answer
    x = 147,315.48

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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.