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Finding the Fourth Proportional to 97,367.20, 145,754.94 and 86,935.20

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Solution

The fourth proportional to 97,367.20, 145,754.94 and 86,935.20 is: 130,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,367.20 : 145,754.94 = 86,935.20 : x
  2. Step 2: Convert to fraction form
    97,367.20/145,754.94 = 86,935.20/x
  3. Step 3: Cross multiply
    97,367.20x = 145,754.94 × 86,935.20
  4. Step 4: Simplify right side
    97,367.20x = 12,671,234,859.89
  5. Step 5: Solve for x
    x = 12,671,234,859.89/97,367.20
  6. Step 6: Final answer
    x = 130,138.64

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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.