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Finding the Fourth Proportional to 102,509.56, 141,463.06 and 57,797.56

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Solution

The fourth proportional to 102,509.56, 141,463.06 and 57,797.56 is: 79,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.56 : 141,463.06 = 57,797.56 : x
  2. Step 2: Convert to fraction form
    102,509.56/141,463.06 = 57,797.56/x
  3. Step 3: Cross multiply
    102,509.56x = 141,463.06 × 57,797.56
  4. Step 4: Simplify right side
    102,509.56x = 8,176,219,698.13
  5. Step 5: Solve for x
    x = 8,176,219,698.13/102,509.56
  6. Step 6: Final answer
    x = 79,760.56

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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.