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Finding the Fourth Proportional to 292,729.76, 403,967.48 and 158,593.76

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Solution

The fourth proportional to 292,729.76, 403,967.48 and 158,593.76 is: 218,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,729.76 : 403,967.48 = 158,593.76 : x
  2. Step 2: Convert to fraction form
    292,729.76/403,967.48 = 158,593.76/x
  3. Step 3: Cross multiply
    292,729.76x = 403,967.48 × 158,593.76
  4. Step 4: Simplify right side
    292,729.76x = 64,066,721,570.92
  5. Step 5: Solve for x
    x = 64,066,721,570.92/292,729.76
  6. Step 6: Final answer
    x = 218,859.61

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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.