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Finding the Fourth Proportional to 268,156.48, 401,871.84 and 101,853.76

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Solution

The fourth proportional to 268,156.48, 401,871.84 and 101,853.76 is: 152,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,156.48 : 401,871.84 = 101,853.76 : x
  2. Step 2: Convert to fraction form
    268,156.48/401,871.84 = 101,853.76/x
  3. Step 3: Cross multiply
    268,156.48x = 401,871.84 × 101,853.76
  4. Step 4: Simplify right side
    268,156.48x = 40,932,157,942.12
  5. Step 5: Solve for x
    x = 40,932,157,942.12/268,156.48
  6. Step 6: Final answer
    x = 152,642.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.