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Finding the Fourth Proportional to 135,307.32, 186,705.90 and 78,675

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Solution

The fourth proportional to 135,307.32, 186,705.90 and 78,675 is: 108,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,307.32 : 186,705.90 = 78,675 : x
  2. Step 2: Convert to fraction form
    135,307.32/186,705.90 = 78,675/x
  3. Step 3: Cross multiply
    135,307.32x = 186,705.90 × 78,675
  4. Step 4: Simplify right side
    135,307.32x = 14,689,086,682.50
  5. Step 5: Solve for x
    x = 14,689,086,682.50/135,307.32
  6. Step 6: Final answer
    x = 108,560.92

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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.