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Finding the Fourth Proportional to 201,670.96, 278,301.54 and 111,023.46

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Solution

The fourth proportional to 201,670.96, 278,301.54 and 111,023.46 is: 153,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,670.96 : 278,301.54 = 111,023.46 : x
  2. Step 2: Convert to fraction form
    201,670.96/278,301.54 = 111,023.46/x
  3. Step 3: Cross multiply
    201,670.96x = 278,301.54 × 111,023.46
  4. Step 4: Simplify right side
    201,670.96x = 30,897,999,894.13
  5. Step 5: Solve for x
    x = 30,897,999,894.13/201,670.96
  6. Step 6: Final answer
    x = 153,209.96

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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.