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Finding the Fourth Proportional to 169,740.85, 234,144.93 and 105,967.93

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Solution

The fourth proportional to 169,740.85, 234,144.93 and 105,967.93 is: 146,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,740.85 : 234,144.93 = 105,967.93 : x
  2. Step 2: Convert to fraction form
    169,740.85/234,144.93 = 105,967.93/x
  3. Step 3: Cross multiply
    169,740.85x = 234,144.93 × 105,967.93
  4. Step 4: Simplify right side
    169,740.85x = 24,811,853,552.09
  5. Step 5: Solve for x
    x = 24,811,853,552.09/169,740.85
  6. Step 6: Final answer
    x = 146,174.91

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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.