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Finding the Fourth Proportional to 102,704.20, 141,655.98 and 64,942

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Solution

The fourth proportional to 102,704.20, 141,655.98 and 64,942 is: 89,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,704.20 : 141,655.98 = 64,942 : x
  2. Step 2: Convert to fraction form
    102,704.20/141,655.98 = 64,942/x
  3. Step 3: Cross multiply
    102,704.20x = 141,655.98 × 64,942
  4. Step 4: Simplify right side
    102,704.20x = 9,199,422,653.16
  5. Step 5: Solve for x
    x = 9,199,422,653.16/102,704.20
  6. Step 6: Final answer
    x = 89,572.02

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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.