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Finding the Fourth Proportional to 202,415.14, 301,986.10 and 182,238.24

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Solution

The fourth proportional to 202,415.14, 301,986.10 and 182,238.24 is: 271,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,415.14 : 301,986.10 = 182,238.24 : x
  2. Step 2: Convert to fraction form
    202,415.14/301,986.10 = 182,238.24/x
  3. Step 3: Cross multiply
    202,415.14x = 301,986.10 × 182,238.24
  4. Step 4: Simplify right side
    202,415.14x = 55,033,415,368.46
  5. Step 5: Solve for x
    x = 55,033,415,368.46/202,415.14
  6. Step 6: Final answer
    x = 271,883.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.