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Finding the Fourth Proportional to 223,206.34, 334,822.02 and 71,416.66

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Solution

The fourth proportional to 223,206.34, 334,822.02 and 71,416.66 is: 107,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,206.34 : 334,822.02 = 71,416.66 : x
  2. Step 2: Convert to fraction form
    223,206.34/334,822.02 = 71,416.66/x
  3. Step 3: Cross multiply
    223,206.34x = 334,822.02 × 71,416.66
  4. Step 4: Simplify right side
    223,206.34x = 23,911,870,362.85
  5. Step 5: Solve for x
    x = 23,911,870,362.85/223,206.34
  6. Step 6: Final answer
    x = 107,128.99

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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.