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Finding the Fourth Proportional to 203,200.47, 304,751.63 and 84,807.63

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Solution

The fourth proportional to 203,200.47, 304,751.63 and 84,807.63 is: 127,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.47 : 304,751.63 = 84,807.63 : x
  2. Step 2: Convert to fraction form
    203,200.47/304,751.63 = 84,807.63/x
  3. Step 3: Cross multiply
    203,200.47x = 304,751.63 × 84,807.63
  4. Step 4: Simplify right side
    203,200.47x = 25,845,263,054.90
  5. Step 5: Solve for x
    x = 25,845,263,054.90/203,200.47
  6. Step 6: Final answer
    x = 127,190.96

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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.