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Finding the Fourth Proportional to 102,378.68, 141,199.04 and 85,962.52

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Solution

The fourth proportional to 102,378.68, 141,199.04 and 85,962.52 is: 118,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,378.68 : 141,199.04 = 85,962.52 : x
  2. Step 2: Convert to fraction form
    102,378.68/141,199.04 = 85,962.52/x
  3. Step 3: Cross multiply
    102,378.68x = 141,199.04 × 85,962.52
  4. Step 4: Simplify right side
    102,378.68x = 12,137,825,299.98
  5. Step 5: Solve for x
    x = 12,137,825,299.98/102,378.68
  6. Step 6: Final answer
    x = 118,558.13

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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.