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Finding the Fourth Proportional to 201,471.84, 278,031.66 and 110,837.04

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Solution

The fourth proportional to 201,471.84, 278,031.66 and 110,837.04 is: 152,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,471.84 : 278,031.66 = 110,837.04 : x
  2. Step 2: Convert to fraction form
    201,471.84/278,031.66 = 110,837.04/x
  3. Step 3: Cross multiply
    201,471.84x = 278,031.66 × 110,837.04
  4. Step 4: Simplify right side
    201,471.84x = 30,816,206,220.69
  5. Step 5: Solve for x
    x = 30,816,206,220.69/201,471.84
  6. Step 6: Final answer
    x = 152,955.40

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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.