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Finding the Fourth Proportional to 202,821.20, 304,231.80 and 124,024.40

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Solution

The fourth proportional to 202,821.20, 304,231.80 and 124,024.40 is: 186,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,821.20 : 304,231.80 = 124,024.40 : x
  2. Step 2: Convert to fraction form
    202,821.20/304,231.80 = 124,024.40/x
  3. Step 3: Cross multiply
    202,821.20x = 304,231.80 × 124,024.40
  4. Step 4: Simplify right side
    202,821.20x = 37,732,166,455.92
  5. Step 5: Solve for x
    x = 37,732,166,455.92/202,821.20
  6. Step 6: Final answer
    x = 186,036.60

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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.