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Finding the Fourth Proportional to 158,882, 238,355.82 and 46,565.90

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Solution

The fourth proportional to 158,882, 238,355.82 and 46,565.90 is: 69,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,882 : 238,355.82 = 46,565.90 : x
  2. Step 2: Convert to fraction form
    158,882/238,355.82 = 46,565.90/x
  3. Step 3: Cross multiply
    158,882x = 238,355.82 × 46,565.90
  4. Step 4: Simplify right side
    158,882x = 11,099,253,278.54
  5. Step 5: Solve for x
    x = 11,099,253,278.54/158,882
  6. Step 6: Final answer
    x = 69,858.47

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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.