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Finding the Fourth Proportional to 103,305.64, 142,550.02 and 57,977.48

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Solution

The fourth proportional to 103,305.64, 142,550.02 and 57,977.48 is: 80,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,305.64 : 142,550.02 = 57,977.48 : x
  2. Step 2: Convert to fraction form
    103,305.64/142,550.02 = 57,977.48/x
  3. Step 3: Cross multiply
    103,305.64x = 142,550.02 × 57,977.48
  4. Step 4: Simplify right side
    103,305.64x = 8,264,690,933.55
  5. Step 5: Solve for x
    x = 8,264,690,933.55/103,305.64
  6. Step 6: Final answer
    x = 80,002.32

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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.