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Finding the Fourth Proportional to 158,326.32, 218,506.80 and 93,834

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Solution

The fourth proportional to 158,326.32, 218,506.80 and 93,834 is: 129,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,326.32 : 218,506.80 = 93,834 : x
  2. Step 2: Convert to fraction form
    158,326.32/218,506.80 = 93,834/x
  3. Step 3: Cross multiply
    158,326.32x = 218,506.80 × 93,834
  4. Step 4: Simplify right side
    158,326.32x = 20,503,367,071.20
  5. Step 5: Solve for x
    x = 20,503,367,071.20/158,326.32
  6. Step 6: Final answer
    x = 129,500.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.