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Finding the Fourth Proportional to 347,835.76, 521,728.11 and 111,114.88

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Solution

The fourth proportional to 347,835.76, 521,728.11 and 111,114.88 is: 166,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,835.76 : 521,728.11 = 111,114.88 : x
  2. Step 2: Convert to fraction form
    347,835.76/521,728.11 = 111,114.88/x
  3. Step 3: Cross multiply
    347,835.76x = 521,728.11 × 111,114.88
  4. Step 4: Simplify right side
    347,835.76x = 57,971,753,726.64
  5. Step 5: Solve for x
    x = 57,971,753,726.64/347,835.76
  6. Step 6: Final answer
    x = 166,664.16

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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.