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Finding the Fourth Proportional to 103,134.79, 142,334.72 and 57,812.05

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Solution

The fourth proportional to 103,134.79, 142,334.72 and 57,812.05 is: 79,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,134.79 : 142,334.72 = 57,812.05 : x
  2. Step 2: Convert to fraction form
    103,134.79/142,334.72 = 57,812.05/x
  3. Step 3: Cross multiply
    103,134.79x = 142,334.72 × 57,812.05
  4. Step 4: Simplify right side
    103,134.79x = 8,228,661,949.38
  5. Step 5: Solve for x
    x = 8,228,661,949.38/103,134.79
  6. Step 6: Final answer
    x = 79,785.51

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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.