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Finding the Fourth Proportional to 133,816.80, 200,494.80 and 70,543.20

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Solution

The fourth proportional to 133,816.80, 200,494.80 and 70,543.20 is: 105,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816.80 : 200,494.80 = 70,543.20 : x
  2. Step 2: Convert to fraction form
    133,816.80/200,494.80 = 70,543.20/x
  3. Step 3: Cross multiply
    133,816.80x = 200,494.80 × 70,543.20
  4. Step 4: Simplify right side
    133,816.80x = 14,143,544,775.36
  5. Step 5: Solve for x
    x = 14,143,544,775.36/133,816.80
  6. Step 6: Final answer
    x = 105,693.34

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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.