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Finding the Fourth Proportional to 102,707.46, 141,728.27 and 57,383.10

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Solution

The fourth proportional to 102,707.46, 141,728.27 and 57,383.10 is: 79,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,707.46 : 141,728.27 = 57,383.10 : x
  2. Step 2: Convert to fraction form
    102,707.46/141,728.27 = 57,383.10/x
  3. Step 3: Cross multiply
    102,707.46x = 141,728.27 × 57,383.10
  4. Step 4: Simplify right side
    102,707.46x = 8,132,807,203.32
  5. Step 5: Solve for x
    x = 8,132,807,203.32/102,707.46
  6. Step 6: Final answer
    x = 79,184.19

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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.