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Finding the Fourth Proportional to 202,932.90, 304,399.35 and 92,124.90

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Solution

The fourth proportional to 202,932.90, 304,399.35 and 92,124.90 is: 138,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,932.90 : 304,399.35 = 92,124.90 : x
  2. Step 2: Convert to fraction form
    202,932.90/304,399.35 = 92,124.90/x
  3. Step 3: Cross multiply
    202,932.90x = 304,399.35 × 92,124.90
  4. Step 4: Simplify right side
    202,932.90x = 28,042,759,678.82
  5. Step 5: Solve for x
    x = 28,042,759,678.82/202,932.90
  6. Step 6: Final answer
    x = 138,187.35

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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.