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Finding the Fourth Proportional to 169,006.32, 233,017 and 108,470.16

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Solution

The fourth proportional to 169,006.32, 233,017 and 108,470.16 is: 149,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,006.32 : 233,017 = 108,470.16 : x
  2. Step 2: Convert to fraction form
    169,006.32/233,017 = 108,470.16/x
  3. Step 3: Cross multiply
    169,006.32x = 233,017 × 108,470.16
  4. Step 4: Simplify right side
    169,006.32x = 25,275,391,272.72
  5. Step 5: Solve for x
    x = 25,275,391,272.72/169,006.32
  6. Step 6: Final answer
    x = 149,552.94

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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.