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Finding the Fourth Proportional to 139,531.60, 192,551.32 and 75,871

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Solution

The fourth proportional to 139,531.60, 192,551.32 and 75,871 is: 104,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,531.60 : 192,551.32 = 75,871 : x
  2. Step 2: Convert to fraction form
    139,531.60/192,551.32 = 75,871/x
  3. Step 3: Cross multiply
    139,531.60x = 192,551.32 × 75,871
  4. Step 4: Simplify right side
    139,531.60x = 14,609,061,199.72
  5. Step 5: Solve for x
    x = 14,609,061,199.72/139,531.60
  6. Step 6: Final answer
    x = 104,700.74

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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.