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Finding the Fourth Proportional to 201,272.10, 301,908.15 and 186,065.70

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Solution

The fourth proportional to 201,272.10, 301,908.15 and 186,065.70 is: 279,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,272.10 : 301,908.15 = 186,065.70 : x
  2. Step 2: Convert to fraction form
    201,272.10/301,908.15 = 186,065.70/x
  3. Step 3: Cross multiply
    201,272.10x = 301,908.15 × 186,065.70
  4. Step 4: Simplify right side
    201,272.10x = 56,174,751,265.46
  5. Step 5: Solve for x
    x = 56,174,751,265.46/201,272.10
  6. Step 6: Final answer
    x = 279,098.55

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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.