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Finding the Fourth Proportional to 103,114.98, 142,291.62 and 57,785.22

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Solution

The fourth proportional to 103,114.98, 142,291.62 and 57,785.22 is: 79,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,114.98 : 142,291.62 = 57,785.22 : x
  2. Step 2: Convert to fraction form
    103,114.98/142,291.62 = 57,785.22/x
  3. Step 3: Cross multiply
    103,114.98x = 142,291.62 × 57,785.22
  4. Step 4: Simplify right side
    103,114.98x = 8,222,352,565.86
  5. Step 5: Solve for x
    x = 8,222,352,565.86/103,114.98
  6. Step 6: Final answer
    x = 79,739.65

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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.