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Finding the Fourth Proportional to 201,697.90, 278,332.77 and 111,036.38

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Solution

The fourth proportional to 201,697.90, 278,332.77 and 111,036.38 is: 153,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,697.90 : 278,332.77 = 111,036.38 : x
  2. Step 2: Convert to fraction form
    201,697.90/278,332.77 = 111,036.38/x
  3. Step 3: Cross multiply
    201,697.90x = 278,332.77 × 111,036.38
  4. Step 4: Simplify right side
    201,697.90x = 30,905,063,729.49
  5. Step 5: Solve for x
    x = 30,905,063,729.49/201,697.90
  6. Step 6: Final answer
    x = 153,224.52

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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.