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Finding the Fourth Proportional to 209,791.52, 314,796.54 and 83,404.76

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Solution

The fourth proportional to 209,791.52, 314,796.54 and 83,404.76 is: 125,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,791.52 : 314,796.54 = 83,404.76 : x
  2. Step 2: Convert to fraction form
    209,791.52/314,796.54 = 83,404.76/x
  3. Step 3: Cross multiply
    209,791.52x = 314,796.54 × 83,404.76
  4. Step 4: Simplify right side
    209,791.52x = 26,255,529,867.53
  5. Step 5: Solve for x
    x = 26,255,529,867.53/209,791.52
  6. Step 6: Final answer
    x = 125,150.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.