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Finding the Fourth Proportional to 200,906.85, 301,360.23 and 156,566.76

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Solution

The fourth proportional to 200,906.85, 301,360.23 and 156,566.76 is: 234,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906.85 : 301,360.23 = 156,566.76 : x
  2. Step 2: Convert to fraction form
    200,906.85/301,360.23 = 156,566.76/x
  3. Step 3: Cross multiply
    200,906.85x = 301,360.23 × 156,566.76
  4. Step 4: Simplify right side
    200,906.85x = 47,182,994,803.95
  5. Step 5: Solve for x
    x = 47,182,994,803.95/200,906.85
  6. Step 6: Final answer
    x = 234,850.10

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1.5x scale

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.