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Finding the Fourth Proportional to 292,064.16, 403,134.72 and 171,231.68

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Solution

The fourth proportional to 292,064.16, 403,134.72 and 171,231.68 is: 236,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,064.16 : 403,134.72 = 171,231.68 : x
  2. Step 2: Convert to fraction form
    292,064.16/403,134.72 = 171,231.68/x
  3. Step 3: Cross multiply
    292,064.16x = 403,134.72 × 171,231.68
  4. Step 4: Simplify right side
    292,064.16x = 69,029,435,371.93
  5. Step 5: Solve for x
    x = 69,029,435,371.93/292,064.16
  6. Step 6: Final answer
    x = 236,350.24

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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.