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Finding the Fourth Proportional to 102,574.25, 141,546.71 and 57,255.16

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Solution

The fourth proportional to 102,574.25, 141,546.71 and 57,255.16 is: 79,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,574.25 : 141,546.71 = 57,255.16 : x
  2. Step 2: Convert to fraction form
    102,574.25/141,546.71 = 57,255.16/x
  3. Step 3: Cross multiply
    102,574.25x = 141,546.71 × 57,255.16
  4. Step 4: Simplify right side
    102,574.25x = 8,104,278,888.38
  5. Step 5: Solve for x
    x = 8,104,278,888.38/102,574.25
  6. Step 6: Final answer
    x = 79,008.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.