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Finding the Fourth Proportional to 102,457.64, 141,403.62 and 57,142.76

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Solution

The fourth proportional to 102,457.64, 141,403.62 and 57,142.76 is: 78,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,457.64 : 141,403.62 = 57,142.76 : x
  2. Step 2: Convert to fraction form
    102,457.64/141,403.62 = 57,142.76/x
  3. Step 3: Cross multiply
    102,457.64x = 141,403.62 × 57,142.76
  4. Step 4: Simplify right side
    102,457.64x = 8,080,193,120.79
  5. Step 5: Solve for x
    x = 8,080,193,120.79/102,457.64
  6. Step 6: Final answer
    x = 78,863.74

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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.