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Finding the Fourth Proportional to 97,813.63, 146,481.16 and 88,347.22

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Solution

The fourth proportional to 97,813.63, 146,481.16 and 88,347.22 is: 132,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,813.63 : 146,481.16 = 88,347.22 : x
  2. Step 2: Convert to fraction form
    97,813.63/146,481.16 = 88,347.22/x
  3. Step 3: Cross multiply
    97,813.63x = 146,481.16 × 88,347.22
  4. Step 4: Simplify right side
    97,813.63x = 12,941,203,268.38
  5. Step 5: Solve for x
    x = 12,941,203,268.38/97,813.63
  6. Step 6: Final answer
    x = 132,304.70

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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.