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Finding the Fourth Proportional to 228,470.18, 342,787.26 and 102,099.84

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Solution

The fourth proportional to 228,470.18, 342,787.26 and 102,099.84 is: 153,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,470.18 : 342,787.26 = 102,099.84 : x
  2. Step 2: Convert to fraction form
    228,470.18/342,787.26 = 102,099.84/x
  3. Step 3: Cross multiply
    228,470.18x = 342,787.26 × 102,099.84
  4. Step 4: Simplify right side
    228,470.18x = 34,998,524,400.04
  5. Step 5: Solve for x
    x = 34,998,524,400.04/228,470.18
  6. Step 6: Final answer
    x = 153,186.40

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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.