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Finding the Fourth Proportional to 102,284.32, 141,148.42 and 56,964.22

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Solution

The fourth proportional to 102,284.32, 141,148.42 and 56,964.22 is: 78,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284.32 : 141,148.42 = 56,964.22 : x
  2. Step 2: Convert to fraction form
    102,284.32/141,148.42 = 56,964.22/x
  3. Step 3: Cross multiply
    102,284.32x = 141,148.42 × 56,964.22
  4. Step 4: Simplify right side
    102,284.32x = 8,040,409,649.53
  5. Step 5: Solve for x
    x = 8,040,409,649.53/102,284.32
  6. Step 6: Final answer
    x = 78,608.43

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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.