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Finding the Fourth Proportional to 201,176.10, 301,800.60 and 101,084.40

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Solution

The fourth proportional to 201,176.10, 301,800.60 and 101,084.40 is: 151,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,176.10 : 301,800.60 = 101,084.40 : x
  2. Step 2: Convert to fraction form
    201,176.10/301,800.60 = 101,084.40/x
  3. Step 3: Cross multiply
    201,176.10x = 301,800.60 × 101,084.40
  4. Step 4: Simplify right side
    201,176.10x = 30,507,332,570.64
  5. Step 5: Solve for x
    x = 30,507,332,570.64/201,176.10
  6. Step 6: Final answer
    x = 151,644.91

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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.