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Finding the Fourth Proportional to 201,306.10, 301,995.60 and 101,214.40

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Solution

The fourth proportional to 201,306.10, 301,995.60 and 101,214.40 is: 151,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,306.10 : 301,995.60 = 101,214.40 : x
  2. Step 2: Convert to fraction form
    201,306.10/301,995.60 = 101,214.40/x
  3. Step 3: Cross multiply
    201,306.10x = 301,995.60 × 101,214.40
  4. Step 4: Simplify right side
    201,306.10x = 30,566,303,456.64
  5. Step 5: Solve for x
    x = 30,566,303,456.64/201,306.10
  6. Step 6: Final answer
    x = 151,839.93

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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.