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Finding the Fourth Proportional to 102,590.96, 141,639.56 and 78,671.60

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Solution

The fourth proportional to 102,590.96, 141,639.56 and 78,671.60 is: 108,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,590.96 : 141,639.56 = 78,671.60 : x
  2. Step 2: Convert to fraction form
    102,590.96/141,639.56 = 78,671.60/x
  3. Step 3: Cross multiply
    102,590.96x = 141,639.56 × 78,671.60
  4. Step 4: Simplify right side
    102,590.96x = 11,143,010,808.50
  5. Step 5: Solve for x
    x = 11,143,010,808.50/102,590.96
  6. Step 6: Final answer
    x = 108,615.91

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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.