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Finding the Fourth Proportional to 133,077.60, 199,324.80 and 70,675.20

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Solution

The fourth proportional to 133,077.60, 199,324.80 and 70,675.20 is: 105,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,077.60 : 199,324.80 = 70,675.20 : x
  2. Step 2: Convert to fraction form
    133,077.60/199,324.80 = 70,675.20/x
  3. Step 3: Cross multiply
    133,077.60x = 199,324.80 × 70,675.20
  4. Step 4: Simplify right side
    133,077.60x = 14,087,320,104.96
  5. Step 5: Solve for x
    x = 14,087,320,104.96/133,077.60
  6. Step 6: Final answer
    x = 105,857.94

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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.