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Finding the Fourth Proportional to 292,350, 403,443 and 158,214

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Solution

The fourth proportional to 292,350, 403,443 and 158,214 is: 218,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,350 : 403,443 = 158,214 : x
  2. Step 2: Convert to fraction form
    292,350/403,443 = 158,214/x
  3. Step 3: Cross multiply
    292,350x = 403,443 × 158,214
  4. Step 4: Simplify right side
    292,350x = 63,830,330,802
  5. Step 5: Solve for x
    x = 63,830,330,802/292,350
  6. Step 6: Final answer
    x = 218,335.32

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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.