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Finding the Fourth Proportional to 160,067.16, 220,995.72 and 102,731.22

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Solution

The fourth proportional to 160,067.16, 220,995.72 and 102,731.22 is: 141,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,067.16 : 220,995.72 = 102,731.22 : x
  2. Step 2: Convert to fraction form
    160,067.16/220,995.72 = 102,731.22/x
  3. Step 3: Cross multiply
    160,067.16x = 220,995.72 × 102,731.22
  4. Step 4: Simplify right side
    160,067.16x = 22,703,159,930.38
  5. Step 5: Solve for x
    x = 22,703,159,930.38/160,067.16
  6. Step 6: Final answer
    x = 141,835.21

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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.