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Finding the Fourth Proportional to 503,473.31, 755,208.93 and 148,736.42

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Solution

The fourth proportional to 503,473.31, 755,208.93 and 148,736.42 is: 223,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,473.31 : 755,208.93 = 148,736.42 : x
  2. Step 2: Convert to fraction form
    503,473.31/755,208.93 = 148,736.42/x
  3. Step 3: Cross multiply
    503,473.31x = 755,208.93 × 148,736.42
  4. Step 4: Simplify right side
    503,473.31x = 112,327,072,600.23
  5. Step 5: Solve for x
    x = 112,327,072,600.23/503,473.31
  6. Step 6: Final answer
    x = 223,104.32

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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.