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Finding the Fourth Proportional to 223,976.84, 309,088.06 and 123,374.84

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Solution

The fourth proportional to 223,976.84, 309,088.06 and 123,374.84 is: 170,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,976.84 : 309,088.06 = 123,374.84 : x
  2. Step 2: Convert to fraction form
    223,976.84/309,088.06 = 123,374.84/x
  3. Step 3: Cross multiply
    223,976.84x = 309,088.06 × 123,374.84
  4. Step 4: Simplify right side
    223,976.84x = 38,133,689,948.41
  5. Step 5: Solve for x
    x = 38,133,689,948.41/223,976.84
  6. Step 6: Final answer
    x = 170,257.29

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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.