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Finding the Fourth Proportional to 201,278.90, 302,000.36 and 101,467.86

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Solution

The fourth proportional to 201,278.90, 302,000.36 and 101,467.86 is: 152,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,278.90 : 302,000.36 = 101,467.86 : x
  2. Step 2: Convert to fraction form
    201,278.90/302,000.36 = 101,467.86/x
  3. Step 3: Cross multiply
    201,278.90x = 302,000.36 × 101,467.86
  4. Step 4: Simplify right side
    201,278.90x = 30,643,330,248.43
  5. Step 5: Solve for x
    x = 30,643,330,248.43/201,278.90
  6. Step 6: Final answer
    x = 152,243.13

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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.