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Finding the Fourth Proportional to 102,823.97, 141,891.18 and 56,880.86

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Solution

The fourth proportional to 102,823.97, 141,891.18 and 56,880.86 is: 78,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,823.97 : 141,891.18 = 56,880.86 : x
  2. Step 2: Convert to fraction form
    102,823.97/141,891.18 = 56,880.86/x
  3. Step 3: Cross multiply
    102,823.97x = 141,891.18 × 56,880.86
  4. Step 4: Simplify right side
    102,823.97x = 8,070,892,344.81
  5. Step 5: Solve for x
    x = 8,070,892,344.81/102,823.97
  6. Step 6: Final answer
    x = 78,492.32

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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.