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Finding the Fourth Proportional to 110,215, 152,096.34 and 59,913.64

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Solution

The fourth proportional to 110,215, 152,096.34 and 59,913.64 is: 82,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,215 : 152,096.34 = 59,913.64 : x
  2. Step 2: Convert to fraction form
    110,215/152,096.34 = 59,913.64/x
  3. Step 3: Cross multiply
    110,215x = 152,096.34 × 59,913.64
  4. Step 4: Simplify right side
    110,215x = 9,112,645,360.08
  5. Step 5: Solve for x
    x = 9,112,645,360.08/110,215
  6. Step 6: Final answer
    x = 82,680.63

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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.