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Finding the Fourth Proportional to 202,101.44, 278,887.72 and 111,458.40

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Solution

The fourth proportional to 202,101.44, 278,887.72 and 111,458.40 is: 153,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101.44 : 278,887.72 = 111,458.40 : x
  2. Step 2: Convert to fraction form
    202,101.44/278,887.72 = 111,458.40/x
  3. Step 3: Cross multiply
    202,101.44x = 278,887.72 × 111,458.40
  4. Step 4: Simplify right side
    202,101.44x = 31,084,379,050.85
  5. Step 5: Solve for x
    x = 31,084,379,050.85/202,101.44
  6. Step 6: Final answer
    x = 153,805.83

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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.