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Finding the Fourth Proportional to 291,182.84, 401,831.04 and 163,860.56

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Solution

The fourth proportional to 291,182.84, 401,831.04 and 163,860.56 is: 226,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,182.84 : 401,831.04 = 163,860.56 : x
  2. Step 2: Convert to fraction form
    291,182.84/401,831.04 = 163,860.56/x
  3. Step 3: Cross multiply
    291,182.84x = 401,831.04 × 163,860.56
  4. Step 4: Simplify right side
    291,182.84x = 65,844,259,239.78
  5. Step 5: Solve for x
    x = 65,844,259,239.78/291,182.84
  6. Step 6: Final answer
    x = 226,126.85

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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.