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Finding the Fourth Proportional to 109,558, 151,190.06 and 59,257

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Solution

The fourth proportional to 109,558, 151,190.06 and 59,257 is: 81,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,558 : 151,190.06 = 59,257 : x
  2. Step 2: Convert to fraction form
    109,558/151,190.06 = 59,257/x
  3. Step 3: Cross multiply
    109,558x = 151,190.06 × 59,257
  4. Step 4: Simplify right side
    109,558x = 8,959,069,385.42
  5. Step 5: Solve for x
    x = 8,959,069,385.42/109,558
  6. Step 6: Final answer
    x = 81,774.67

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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.