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Finding the Fourth Proportional to 203,085.24, 304,824.72 and 97,978.02

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Solution

The fourth proportional to 203,085.24, 304,824.72 and 97,978.02 is: 147,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,085.24 : 304,824.72 = 97,978.02 : x
  2. Step 2: Convert to fraction form
    203,085.24/304,824.72 = 97,978.02/x
  3. Step 3: Cross multiply
    203,085.24x = 304,824.72 × 97,978.02
  4. Step 4: Simplify right side
    203,085.24x = 29,866,122,512.65
  5. Step 5: Solve for x
    x = 29,866,122,512.65/203,085.24
  6. Step 6: Final answer
    x = 147,062.00

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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.