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Finding the Fourth Proportional to 107,175.68, 160,742.48 and 78,832.16

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Solution

The fourth proportional to 107,175.68, 160,742.48 and 78,832.16 is: 118,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,175.68 : 160,742.48 = 78,832.16 : x
  2. Step 2: Convert to fraction form
    107,175.68/160,742.48 = 78,832.16/x
  3. Step 3: Cross multiply
    107,175.68x = 160,742.48 × 78,832.16
  4. Step 4: Simplify right side
    107,175.68x = 12,671,676,902.16
  5. Step 5: Solve for x
    x = 12,671,676,902.16/107,175.68
  6. Step 6: Final answer
    x = 118,232.76

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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.