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Finding the Fourth Proportional to 169,484.46, 233,998.10 and 105,022.09

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Solution

The fourth proportional to 169,484.46, 233,998.10 and 105,022.09 is: 144,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,484.46 : 233,998.10 = 105,022.09 : x
  2. Step 2: Convert to fraction form
    169,484.46/233,998.10 = 105,022.09/x
  3. Step 3: Cross multiply
    169,484.46x = 233,998.10 × 105,022.09
  4. Step 4: Simplify right side
    169,484.46x = 24,574,969,518.03
  5. Step 5: Solve for x
    x = 24,574,969,518.03/169,484.46
  6. Step 6: Final answer
    x = 144,998.36

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1.5x scale

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.