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Finding the Fourth Proportional to 292,552.38, 403,719.90 and 158,416.38

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Solution

The fourth proportional to 292,552.38, 403,719.90 and 158,416.38 is: 218,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,552.38 : 403,719.90 = 158,416.38 : x
  2. Step 2: Convert to fraction form
    292,552.38/403,719.90 = 158,416.38/x
  3. Step 3: Cross multiply
    292,552.38x = 403,719.90 × 158,416.38
  4. Step 4: Simplify right side
    292,552.38x = 63,955,845,091.96
  5. Step 5: Solve for x
    x = 63,955,845,091.96/292,552.38
  6. Step 6: Final answer
    x = 218,613.31

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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.