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Finding the Fourth Proportional to 227,281.40, 340,922.10 and 100,921.40

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Solution

The fourth proportional to 227,281.40, 340,922.10 and 100,921.40 is: 151,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,281.40 : 340,922.10 = 100,921.40 : x
  2. Step 2: Convert to fraction form
    227,281.40/340,922.10 = 100,921.40/x
  3. Step 3: Cross multiply
    227,281.40x = 340,922.10 × 100,921.40
  4. Step 4: Simplify right side
    227,281.40x = 34,406,335,622.94
  5. Step 5: Solve for x
    x = 34,406,335,622.94/227,281.40
  6. Step 6: Final answer
    x = 151,382.10

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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.