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Finding the Fourth Proportional to 201,700.20, 302,550.30 and 103,396.20

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Solution

The fourth proportional to 201,700.20, 302,550.30 and 103,396.20 is: 155,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.20 : 302,550.30 = 103,396.20 : x
  2. Step 2: Convert to fraction form
    201,700.20/302,550.30 = 103,396.20/x
  3. Step 3: Cross multiply
    201,700.20x = 302,550.30 × 103,396.20
  4. Step 4: Simplify right side
    201,700.20x = 31,282,551,328.86
  5. Step 5: Solve for x
    x = 31,282,551,328.86/201,700.20
  6. Step 6: Final answer
    x = 155,094.30

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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.