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Finding the Fourth Proportional to 130,475.30, 180,052.86 and 76,763.78

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Solution

The fourth proportional to 130,475.30, 180,052.86 and 76,763.78 is: 105,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,475.30 : 180,052.86 = 76,763.78 : x
  2. Step 2: Convert to fraction form
    130,475.30/180,052.86 = 76,763.78/x
  3. Step 3: Cross multiply
    130,475.30x = 180,052.86 × 76,763.78
  4. Step 4: Simplify right side
    130,475.30x = 13,821,538,133.41
  5. Step 5: Solve for x
    x = 13,821,538,133.41/130,475.30
  6. Step 6: Final answer
    x = 105,932.22

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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.