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Finding the Fourth Proportional to 282,151.74, 423,241.45 and 113,649.32

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Solution

The fourth proportional to 282,151.74, 423,241.45 and 113,649.32 is: 170,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,151.74 : 423,241.45 = 113,649.32 : x
  2. Step 2: Convert to fraction form
    282,151.74/423,241.45 = 113,649.32/x
  3. Step 3: Cross multiply
    282,151.74x = 423,241.45 × 113,649.32
  4. Step 4: Simplify right side
    282,151.74x = 48,101,101,425.66
  5. Step 5: Solve for x
    x = 48,101,101,425.66/282,151.74
  6. Step 6: Final answer
    x = 170,479.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.