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Finding the Fourth Proportional to 227,523.70, 341,285.55 and 164,538.10

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Solution

The fourth proportional to 227,523.70, 341,285.55 and 164,538.10 is: 246,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,523.70 : 341,285.55 = 164,538.10 : x
  2. Step 2: Convert to fraction form
    227,523.70/341,285.55 = 164,538.10/x
  3. Step 3: Cross multiply
    227,523.70x = 341,285.55 × 164,538.10
  4. Step 4: Simplify right side
    227,523.70x = 56,154,475,954.46
  5. Step 5: Solve for x
    x = 56,154,475,954.46/227,523.70
  6. Step 6: Final answer
    x = 246,807.15

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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.