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Finding the Fourth Proportional to 170,971.29, 256,227.68 and 133,066.34

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Solution

The fourth proportional to 170,971.29, 256,227.68 and 133,066.34 is: 199,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,971.29 : 256,227.68 = 133,066.34 : x
  2. Step 2: Convert to fraction form
    170,971.29/256,227.68 = 133,066.34/x
  3. Step 3: Cross multiply
    170,971.29x = 256,227.68 × 133,066.34
  4. Step 4: Simplify right side
    170,971.29x = 34,095,277,637.82
  5. Step 5: Solve for x
    x = 34,095,277,637.82/170,971.29
  6. Step 6: Final answer
    x = 199,421.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.