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Finding the Fourth Proportional to 102,855.61, 141,914.19 and 64,621.18

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Solution

The fourth proportional to 102,855.61, 141,914.19 and 64,621.18 is: 89,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.61 : 141,914.19 = 64,621.18 : x
  2. Step 2: Convert to fraction form
    102,855.61/141,914.19 = 64,621.18/x
  3. Step 3: Cross multiply
    102,855.61x = 141,914.19 × 64,621.18
  4. Step 4: Simplify right side
    102,855.61x = 9,170,662,416.54
  5. Step 5: Solve for x
    x = 9,170,662,416.54/102,855.61
  6. Step 6: Final answer
    x = 89,160.55

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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.