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Finding the Fourth Proportional to 223,000.24, 307,734.24 and 122,398.24

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Solution

The fourth proportional to 223,000.24, 307,734.24 and 122,398.24 is: 168,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,000.24 : 307,734.24 = 122,398.24 : x
  2. Step 2: Convert to fraction form
    223,000.24/307,734.24 = 122,398.24/x
  3. Step 3: Cross multiply
    223,000.24x = 307,734.24 × 122,398.24
  4. Step 4: Simplify right side
    223,000.24x = 37,666,129,363.74
  5. Step 5: Solve for x
    x = 37,666,129,363.74/223,000.24
  6. Step 6: Final answer
    x = 168,906.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.