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Finding the Fourth Proportional to 201,159.10, 301,775.10 and 101,067.40

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Solution

The fourth proportional to 201,159.10, 301,775.10 and 101,067.40 is: 151,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,159.10 : 301,775.10 = 101,067.40 : x
  2. Step 2: Convert to fraction form
    201,159.10/301,775.10 = 101,067.40/x
  3. Step 3: Cross multiply
    201,159.10x = 301,775.10 × 101,067.40
  4. Step 4: Simplify right side
    201,159.10x = 30,499,624,741.74
  5. Step 5: Solve for x
    x = 30,499,624,741.74/201,159.10
  6. Step 6: Final answer
    x = 151,619.41

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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.