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Finding the Fourth Proportional to 203,067.54, 304,502.63 and 101,822.10

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Solution

The fourth proportional to 203,067.54, 304,502.63 and 101,822.10 is: 152,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,067.54 : 304,502.63 = 101,822.10 : x
  2. Step 2: Convert to fraction form
    203,067.54/304,502.63 = 101,822.10/x
  3. Step 3: Cross multiply
    203,067.54x = 304,502.63 × 101,822.10
  4. Step 4: Simplify right side
    203,067.54x = 31,005,097,242.12
  5. Step 5: Solve for x
    x = 31,005,097,242.12/203,067.54
  6. Step 6: Final answer
    x = 152,683.67

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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.