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Finding the Fourth Proportional to 223,811.52, 307,478.40 and 200,250.24

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Solution

The fourth proportional to 223,811.52, 307,478.40 and 200,250.24 is: 275,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,811.52 : 307,478.40 = 200,250.24 : x
  2. Step 2: Convert to fraction form
    223,811.52/307,478.40 = 200,250.24/x
  3. Step 3: Cross multiply
    223,811.52x = 307,478.40 × 200,250.24
  4. Step 4: Simplify right side
    223,811.52x = 61,572,623,394.82
  5. Step 5: Solve for x
    x = 61,572,623,394.82/223,811.52
  6. Step 6: Final answer
    x = 275,109.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.