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Finding the Fourth Proportional to 133,030.80, 199,546.20 and 77,734.80

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Solution

The fourth proportional to 133,030.80, 199,546.20 and 77,734.80 is: 116,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,030.80 : 199,546.20 = 77,734.80 : x
  2. Step 2: Convert to fraction form
    133,030.80/199,546.20 = 77,734.80/x
  3. Step 3: Cross multiply
    133,030.80x = 199,546.20 × 77,734.80
  4. Step 4: Simplify right side
    133,030.80x = 15,511,683,947.76
  5. Step 5: Solve for x
    x = 15,511,683,947.76/133,030.80
  6. Step 6: Final answer
    x = 116,602.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.