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Finding the Fourth Proportional to 227,533.40, 341,300.10 and 61,321.40

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Solution

The fourth proportional to 227,533.40, 341,300.10 and 61,321.40 is: 91,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,533.40 : 341,300.10 = 61,321.40 : x
  2. Step 2: Convert to fraction form
    227,533.40/341,300.10 = 61,321.40/x
  3. Step 3: Cross multiply
    227,533.40x = 341,300.10 × 61,321.40
  4. Step 4: Simplify right side
    227,533.40x = 20,928,999,952.14
  5. Step 5: Solve for x
    x = 20,928,999,952.14/227,533.40
  6. Step 6: Final answer
    x = 91,982.10

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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.