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Finding the Fourth Proportional to 295,200.52, 407,376.48 and 161,064.52

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Solution

The fourth proportional to 295,200.52, 407,376.48 and 161,064.52 is: 222,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,200.52 : 407,376.48 = 161,064.52 : x
  2. Step 2: Convert to fraction form
    295,200.52/407,376.48 = 161,064.52/x
  3. Step 3: Cross multiply
    295,200.52x = 407,376.48 × 161,064.52
  4. Step 4: Simplify right side
    295,200.52x = 65,613,897,210.49
  5. Step 5: Solve for x
    x = 65,613,897,210.49/295,200.52
  6. Step 6: Final answer
    x = 222,268.91

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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.