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Finding the Fourth Proportional to 102,510.12, 141,465.78 and 57,189

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Solution

The fourth proportional to 102,510.12, 141,465.78 and 57,189 is: 78,921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510.12 : 141,465.78 = 57,189 : x
  2. Step 2: Convert to fraction form
    102,510.12/141,465.78 = 57,189/x
  3. Step 3: Cross multiply
    102,510.12x = 141,465.78 × 57,189
  4. Step 4: Simplify right side
    102,510.12x = 8,090,286,492.42
  5. Step 5: Solve for x
    x = 8,090,286,492.42/102,510.12
  6. Step 6: Final answer
    x = 78,921.83

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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.