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Finding the Fourth Proportional to 178,067, 245,732.47 and 97,499.51

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Solution

The fourth proportional to 178,067, 245,732.47 and 97,499.51 is: 134,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,067 : 245,732.47 = 97,499.51 : x
  2. Step 2: Convert to fraction form
    178,067/245,732.47 = 97,499.51/x
  3. Step 3: Cross multiply
    178,067x = 245,732.47 × 97,499.51
  4. Step 4: Simplify right side
    178,067x = 23,958,795,416.09
  5. Step 5: Solve for x
    x = 23,958,795,416.09/178,067
  6. Step 6: Final answer
    x = 134,549.33

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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.