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Finding the Fourth Proportional to 205,182.40, 307,773.60 and 160,945.60

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Solution

The fourth proportional to 205,182.40, 307,773.60 and 160,945.60 is: 241,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,182.40 : 307,773.60 = 160,945.60 : x
  2. Step 2: Convert to fraction form
    205,182.40/307,773.60 = 160,945.60/x
  3. Step 3: Cross multiply
    205,182.40x = 307,773.60 × 160,945.60
  4. Step 4: Simplify right side
    205,182.40x = 49,534,806,716.16
  5. Step 5: Solve for x
    x = 49,534,806,716.16/205,182.40
  6. Step 6: Final answer
    x = 241,418.40

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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.