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Finding the Fourth Proportional to 105,878.54, 158,668.50 and 58,514.96

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Solution

The fourth proportional to 105,878.54, 158,668.50 and 58,514.96 is: 87,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,878.54 : 158,668.50 = 58,514.96 : x
  2. Step 2: Convert to fraction form
    105,878.54/158,668.50 = 58,514.96/x
  3. Step 3: Cross multiply
    105,878.54x = 158,668.50 × 58,514.96
  4. Step 4: Simplify right side
    105,878.54x = 9,284,480,930.76
  5. Step 5: Solve for x
    x = 9,284,480,930.76/105,878.54
  6. Step 6: Final answer
    x = 87,689.92

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