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Finding the Fourth Proportional to 208,953.20, 313,458.60 and 75,801.20

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Solution

The fourth proportional to 208,953.20, 313,458.60 and 75,801.20 is: 113,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,953.20 : 313,458.60 = 75,801.20 : x
  2. Step 2: Convert to fraction form
    208,953.20/313,458.60 = 75,801.20/x
  3. Step 3: Cross multiply
    208,953.20x = 313,458.60 × 75,801.20
  4. Step 4: Simplify right side
    208,953.20x = 23,760,538,030.32
  5. Step 5: Solve for x
    x = 23,760,538,030.32/208,953.20
  6. Step 6: Final answer
    x = 113,712.25

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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.