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Finding the Fourth Proportional to 259,691.86, 358,380.82 and 162,899.84

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Solution

The fourth proportional to 259,691.86, 358,380.82 and 162,899.84 is: 224,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,691.86 : 358,380.82 = 162,899.84 : x
  2. Step 2: Convert to fraction form
    259,691.86/358,380.82 = 162,899.84/x
  3. Step 3: Cross multiply
    259,691.86x = 358,380.82 × 162,899.84
  4. Step 4: Simplify right side
    259,691.86x = 58,380,178,237.07
  5. Step 5: Solve for x
    x = 58,380,178,237.07/259,691.86
  6. Step 6: Final answer
    x = 224,805.58

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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.