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Finding the Fourth Proportional to 109,682.36, 151,360.98 and 59,381

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Solution

The fourth proportional to 109,682.36, 151,360.98 and 59,381 is: 81,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,682.36 : 151,360.98 = 59,381 : x
  2. Step 2: Convert to fraction form
    109,682.36/151,360.98 = 59,381/x
  3. Step 3: Cross multiply
    109,682.36x = 151,360.98 × 59,381
  4. Step 4: Simplify right side
    109,682.36x = 8,987,966,353.38
  5. Step 5: Solve for x
    x = 8,987,966,353.38/109,682.36
  6. Step 6: Final answer
    x = 81,945.41

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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.