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Finding the Fourth Proportional to 96,697.40, 145,434.90 and 86,588.60

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Solution

The fourth proportional to 96,697.40, 145,434.90 and 86,588.60 is: 130,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,697.40 : 145,434.90 = 86,588.60 : x
  2. Step 2: Convert to fraction form
    96,697.40/145,434.90 = 86,588.60/x
  3. Step 3: Cross multiply
    96,697.40x = 145,434.90 × 86,588.60
  4. Step 4: Simplify right side
    96,697.40x = 12,593,004,382.14
  5. Step 5: Solve for x
    x = 12,593,004,382.14/96,697.40
  6. Step 6: Final answer
    x = 130,231.05

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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.