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Finding the Fourth Proportional to 201,201.10, 301,801.65 and 101,322.70

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Solution

The fourth proportional to 201,201.10, 301,801.65 and 101,322.70 is: 151,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,201.10 : 301,801.65 = 101,322.70 : x
  2. Step 2: Convert to fraction form
    201,201.10/301,801.65 = 101,322.70/x
  3. Step 3: Cross multiply
    201,201.10x = 301,801.65 × 101,322.70
  4. Step 4: Simplify right side
    201,201.10x = 30,579,358,042.46
  5. Step 5: Solve for x
    x = 30,579,358,042.46/201,201.10
  6. Step 6: Final answer
    x = 151,984.05

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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.