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Finding the Fourth Proportional to 223,966.84, 309,074.26 and 123,364.84

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Solution

The fourth proportional to 223,966.84, 309,074.26 and 123,364.84 is: 170,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,966.84 : 309,074.26 = 123,364.84 : x
  2. Step 2: Convert to fraction form
    223,966.84/309,074.26 = 123,364.84/x
  3. Step 3: Cross multiply
    223,966.84x = 309,074.26 × 123,364.84
  4. Step 4: Simplify right side
    223,966.84x = 38,128,896,633.02
  5. Step 5: Solve for x
    x = 38,128,896,633.02/223,966.84
  6. Step 6: Final answer
    x = 170,243.49

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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.