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Finding the Fourth Proportional to 133,756.92, 200,643.58 and 45,002.99

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Solution

The fourth proportional to 133,756.92, 200,643.58 and 45,002.99 is: 67,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,756.92 : 200,643.58 = 45,002.99 : x
  2. Step 2: Convert to fraction form
    133,756.92/200,643.58 = 45,002.99/x
  3. Step 3: Cross multiply
    133,756.92x = 200,643.58 × 45,002.99
  4. Step 4: Simplify right side
    133,756.92x = 9,029,561,582.17
  5. Step 5: Solve for x
    x = 9,029,561,582.17/133,756.92
  6. Step 6: Final answer
    x = 67,507.25

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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.