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Finding the Fourth Proportional to 169,486.46, 234,000.86 and 105,024.09

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Solution

The fourth proportional to 169,486.46, 234,000.86 and 105,024.09 is: 145,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,486.46 : 234,000.86 = 105,024.09 : x
  2. Step 2: Convert to fraction form
    169,486.46/234,000.86 = 105,024.09/x
  3. Step 3: Cross multiply
    169,486.46x = 234,000.86 × 105,024.09
  4. Step 4: Simplify right side
    169,486.46x = 24,575,727,380.72
  5. Step 5: Solve for x
    x = 24,575,727,380.72/169,486.46
  6. Step 6: Final answer
    x = 145,001.13

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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.