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Finding the Fourth Proportional to 201,271.10, 301,906.65 and 186,064.70

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Solution

The fourth proportional to 201,271.10, 301,906.65 and 186,064.70 is: 279,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,271.10 : 301,906.65 = 186,064.70 : x
  2. Step 2: Convert to fraction form
    201,271.10/301,906.65 = 186,064.70/x
  3. Step 3: Cross multiply
    201,271.10x = 301,906.65 × 186,064.70
  4. Step 4: Simplify right side
    201,271.10x = 56,174,170,260.26
  5. Step 5: Solve for x
    x = 56,174,170,260.26/201,271.10
  6. Step 6: Final answer
    x = 279,097.05

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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.