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Finding the Fourth Proportional to 201,820.80, 278,501.76 and 111,159.12

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Solution

The fourth proportional to 201,820.80, 278,501.76 and 111,159.12 is: 153,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,820.80 : 278,501.76 = 111,159.12 : x
  2. Step 2: Convert to fraction form
    201,820.80/278,501.76 = 111,159.12/x
  3. Step 3: Cross multiply
    201,820.80x = 278,501.76 × 111,159.12
  4. Step 4: Simplify right side
    201,820.80x = 30,958,010,560.05
  5. Step 5: Solve for x
    x = 30,958,010,560.05/201,820.80
  6. Step 6: Final answer
    x = 153,393.56

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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.