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Finding the Fourth Proportional to 201,488.32, 278,057.28 and 110,851.84

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Solution

The fourth proportional to 201,488.32, 278,057.28 and 110,851.84 is: 152,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,488.32 : 278,057.28 = 110,851.84 : x
  2. Step 2: Convert to fraction form
    201,488.32/278,057.28 = 110,851.84/x
  3. Step 3: Cross multiply
    201,488.32x = 278,057.28 × 110,851.84
  4. Step 4: Simplify right side
    201,488.32x = 30,823,161,113.40
  5. Step 5: Solve for x
    x = 30,823,161,113.40/201,488.32
  6. Step 6: Final answer
    x = 152,977.41

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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.