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Finding the Fourth Proportional to 227,816.30, 341,724.45 and 164,830.70

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Solution

The fourth proportional to 227,816.30, 341,724.45 and 164,830.70 is: 247,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,816.30 : 341,724.45 = 164,830.70 : x
  2. Step 2: Convert to fraction form
    227,816.30/341,724.45 = 164,830.70/x
  3. Step 3: Cross multiply
    227,816.30x = 341,724.45 × 164,830.70
  4. Step 4: Simplify right side
    227,816.30x = 56,326,680,300.62
  5. Step 5: Solve for x
    x = 56,326,680,300.62/227,816.30
  6. Step 6: Final answer
    x = 247,246.05

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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.