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Finding the Fourth Proportional to 133,776.69, 200,685.80 and 45,023.28

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Solution

The fourth proportional to 133,776.69, 200,685.80 and 45,023.28 is: 67,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776.69 : 200,685.80 = 45,023.28 : x
  2. Step 2: Convert to fraction form
    133,776.69/200,685.80 = 45,023.28/x
  3. Step 3: Cross multiply
    133,776.69x = 200,685.80 × 45,023.28
  4. Step 4: Simplify right side
    133,776.69x = 9,035,532,965.42
  5. Step 5: Solve for x
    x = 9,035,532,965.42/133,776.69
  6. Step 6: Final answer
    x = 67,541.91

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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.