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Finding the Fourth Proportional to 227,903.38, 341,928.88 and 109,559.34

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Solution

The fourth proportional to 227,903.38, 341,928.88 and 109,559.34 is: 164,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,903.38 : 341,928.88 = 109,559.34 : x
  2. Step 2: Convert to fraction form
    227,903.38/341,928.88 = 109,559.34/x
  3. Step 3: Cross multiply
    227,903.38x = 341,928.88 × 109,559.34
  4. Step 4: Simplify right side
    227,903.38x = 37,461,502,419.74
  5. Step 5: Solve for x
    x = 37,461,502,419.74/227,903.38
  6. Step 6: Final answer
    x = 164,374.49

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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.