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Finding the Fourth Proportional to 281,649.24, 388,691.51 and 160,829.33

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Solution

The fourth proportional to 281,649.24, 388,691.51 and 160,829.33 is: 221,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,649.24 : 388,691.51 = 160,829.33 : x
  2. Step 2: Convert to fraction form
    281,649.24/388,691.51 = 160,829.33/x
  3. Step 3: Cross multiply
    281,649.24x = 388,691.51 × 160,829.33
  4. Step 4: Simplify right side
    281,649.24x = 62,512,992,382.38
  5. Step 5: Solve for x
    x = 62,512,992,382.38/281,649.24
  6. Step 6: Final answer
    x = 221,953.35

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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.