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Finding the Fourth Proportional to 102,464.16, 141,400.44 and 57,146.16

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Solution

The fourth proportional to 102,464.16, 141,400.44 and 57,146.16 is: 78,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464.16 : 141,400.44 = 57,146.16 : x
  2. Step 2: Convert to fraction form
    102,464.16/141,400.44 = 57,146.16/x
  3. Step 3: Cross multiply
    102,464.16x = 141,400.44 × 57,146.16
  4. Step 4: Simplify right side
    102,464.16x = 8,080,492,168.31
  5. Step 5: Solve for x
    x = 8,080,492,168.31/102,464.16
  6. Step 6: Final answer
    x = 78,861.64

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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.