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Finding the Fourth Proportional to 102,109.16, 140,923.30 and 57,397.16

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Solution

The fourth proportional to 102,109.16, 140,923.30 and 57,397.16 is: 79,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,109.16 : 140,923.30 = 57,397.16 : x
  2. Step 2: Convert to fraction form
    102,109.16/140,923.30 = 57,397.16/x
  3. Step 3: Cross multiply
    102,109.16x = 140,923.30 × 57,397.16
  4. Step 4: Simplify right side
    102,109.16x = 8,088,597,197.83
  5. Step 5: Solve for x
    x = 8,088,597,197.83/102,109.16
  6. Step 6: Final answer
    x = 79,215.20

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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.