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Finding the Fourth Proportional to 347,876.88, 521,864.58 and 111,164.22

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Solution

The fourth proportional to 347,876.88, 521,864.58 and 111,164.22 is: 166,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,876.88 : 521,864.58 = 111,164.22 : x
  2. Step 2: Convert to fraction form
    347,876.88/521,864.58 = 111,164.22/x
  3. Step 3: Cross multiply
    347,876.88x = 521,864.58 × 111,164.22
  4. Step 4: Simplify right side
    347,876.88x = 58,012,668,981.33
  5. Step 5: Solve for x
    x = 58,012,668,981.33/347,876.88
  6. Step 6: Final answer
    x = 166,762.07

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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.