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Finding the Fourth Proportional to 111,452, 167,205.01 and 64,097.40

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Solution

The fourth proportional to 111,452, 167,205.01 and 64,097.40 is: 96,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,452 : 167,205.01 = 64,097.40 : x
  2. Step 2: Convert to fraction form
    111,452/167,205.01 = 64,097.40/x
  3. Step 3: Cross multiply
    111,452x = 167,205.01 × 64,097.40
  4. Step 4: Simplify right side
    111,452x = 10,717,406,407.97
  5. Step 5: Solve for x
    x = 10,717,406,407.97/111,452
  6. Step 6: Final answer
    x = 96,161.63

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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.