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Finding the Fourth Proportional to 267,847.95, 369,603.24 and 160,415.22

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Solution

The fourth proportional to 267,847.95, 369,603.24 and 160,415.22 is: 221,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,847.95 : 369,603.24 = 160,415.22 : x
  2. Step 2: Convert to fraction form
    267,847.95/369,603.24 = 160,415.22/x
  3. Step 3: Cross multiply
    267,847.95x = 369,603.24 × 160,415.22
  4. Step 4: Simplify right side
    267,847.95x = 59,289,985,057.31
  5. Step 5: Solve for x
    x = 59,289,985,057.31/267,847.95
  6. Step 6: Final answer
    x = 221,356.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.