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Finding the Fourth Proportional to 295,337.13, 407,565.24 and 161,201.13

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Solution

The fourth proportional to 295,337.13, 407,565.24 and 161,201.13 is: 222,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,337.13 : 407,565.24 = 161,201.13 : x
  2. Step 2: Convert to fraction form
    295,337.13/407,565.24 = 161,201.13/x
  3. Step 3: Cross multiply
    295,337.13x = 407,565.24 × 161,201.13
  4. Step 4: Simplify right side
    295,337.13x = 65,699,974,392.89
  5. Step 5: Solve for x
    x = 65,699,974,392.89/295,337.13
  6. Step 6: Final answer
    x = 222,457.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.