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Finding the Fourth Proportional to 169,120.46, 233,387.95 and 102,039.50

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Solution

The fourth proportional to 169,120.46, 233,387.95 and 102,039.50 is: 140,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,120.46 : 233,387.95 = 102,039.50 : x
  2. Step 2: Convert to fraction form
    169,120.46/233,387.95 = 102,039.50/x
  3. Step 3: Cross multiply
    169,120.46x = 233,387.95 × 102,039.50
  4. Step 4: Simplify right side
    169,120.46x = 23,814,789,724.03
  5. Step 5: Solve for x
    x = 23,814,789,724.03/169,120.46
  6. Step 6: Final answer
    x = 140,815.54

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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.