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Finding the Fourth Proportional to 97,205.34, 133,268.51 and 95,433.87

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Solution

The fourth proportional to 97,205.34, 133,268.51 and 95,433.87 is: 130,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205.34 : 133,268.51 = 95,433.87 : x
  2. Step 2: Convert to fraction form
    97,205.34/133,268.51 = 95,433.87/x
  3. Step 3: Cross multiply
    97,205.34x = 133,268.51 × 95,433.87
  4. Step 4: Simplify right side
    97,205.34x = 12,718,329,181.26
  5. Step 5: Solve for x
    x = 12,718,329,181.26/97,205.34
  6. Step 6: Final answer
    x = 130,839.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.