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Finding the Fourth Proportional to 227,818.40, 341,727.60 and 101,458.40

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Solution

The fourth proportional to 227,818.40, 341,727.60 and 101,458.40 is: 152,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,818.40 : 341,727.60 = 101,458.40 : x
  2. Step 2: Convert to fraction form
    227,818.40/341,727.60 = 101,458.40/x
  3. Step 3: Cross multiply
    227,818.40x = 341,727.60 × 101,458.40
  4. Step 4: Simplify right side
    227,818.40x = 34,671,135,531.84
  5. Step 5: Solve for x
    x = 34,671,135,531.84/227,818.40
  6. Step 6: Final answer
    x = 152,187.60

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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.