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Finding the Fourth Proportional to 223,214.81, 334,936.70 and 109,360.45

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Solution

The fourth proportional to 223,214.81, 334,936.70 and 109,360.45 is: 164,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,214.81 : 334,936.70 = 109,360.45 : x
  2. Step 2: Convert to fraction form
    223,214.81/334,936.70 = 109,360.45/x
  3. Step 3: Cross multiply
    223,214.81x = 334,936.70 × 109,360.45
  4. Step 4: Simplify right side
    223,214.81x = 36,628,828,105.38
  5. Step 5: Solve for x
    x = 36,628,828,105.38/223,214.81
  6. Step 6: Final answer
    x = 164,096.77

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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.