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Finding the Fourth Proportional to 262,910.76, 362,816.84 and 142,052.08

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Solution

The fourth proportional to 262,910.76, 362,816.84 and 142,052.08 is: 196,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,910.76 : 362,816.84 = 142,052.08 : x
  2. Step 2: Convert to fraction form
    262,910.76/362,816.84 = 142,052.08/x
  3. Step 3: Cross multiply
    262,910.76x = 362,816.84 × 142,052.08
  4. Step 4: Simplify right side
    262,910.76x = 51,538,886,781.03
  5. Step 5: Solve for x
    x = 51,538,886,781.03/262,910.76
  6. Step 6: Final answer
    x = 196,031.87

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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.