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Finding the Fourth Proportional to 292,060.11, 403,061.76 and 164,732.97

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Solution

The fourth proportional to 292,060.11, 403,061.76 and 164,732.97 is: 227,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,060.11 : 403,061.76 = 164,732.97 : x
  2. Step 2: Convert to fraction form
    292,060.11/403,061.76 = 164,732.97/x
  3. Step 3: Cross multiply
    292,060.11x = 403,061.76 × 164,732.97
  4. Step 4: Simplify right side
    292,060.11x = 66,397,560,818.23
  5. Step 5: Solve for x
    x = 66,397,560,818.23/292,060.11
  6. Step 6: Final answer
    x = 227,342.11

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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.