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Finding the Fourth Proportional to 201,703.86, 278,349.10 and 111,057.50

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Solution

The fourth proportional to 201,703.86, 278,349.10 and 111,057.50 is: 153,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,703.86 : 278,349.10 = 111,057.50 : x
  2. Step 2: Convert to fraction form
    201,703.86/278,349.10 = 111,057.50/x
  3. Step 3: Cross multiply
    201,703.86x = 278,349.10 × 111,057.50
  4. Step 4: Simplify right side
    201,703.86x = 30,912,755,173.25
  5. Step 5: Solve for x
    x = 30,912,755,173.25/201,703.86
  6. Step 6: Final answer
    x = 153,258.12

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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.