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Finding the Fourth Proportional to 126,158.65, 189,248.91 and 46,218.33

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Solution

The fourth proportional to 126,158.65, 189,248.91 and 46,218.33 is: 69,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,158.65 : 189,248.91 = 46,218.33 : x
  2. Step 2: Convert to fraction form
    126,158.65/189,248.91 = 46,218.33/x
  3. Step 3: Cross multiply
    126,158.65x = 189,248.91 × 46,218.33
  4. Step 4: Simplify right side
    126,158.65x = 8,746,768,401.20
  5. Step 5: Solve for x
    x = 8,746,768,401.20/126,158.65
  6. Step 6: Final answer
    x = 69,331.50

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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.