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Finding the Fourth Proportional to 97,813.25, 146,480.60 and 88,346.84

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Solution

The fourth proportional to 97,813.25, 146,480.60 and 88,346.84 is: 132,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,813.25 : 146,480.60 = 88,346.84 : x
  2. Step 2: Convert to fraction form
    97,813.25/146,480.60 = 88,346.84/x
  3. Step 3: Cross multiply
    97,813.25x = 146,480.60 × 88,346.84
  4. Step 4: Simplify right side
    97,813.25x = 12,941,097,689.57
  5. Step 5: Solve for x
    x = 12,941,097,689.57/97,813.25
  6. Step 6: Final answer
    x = 132,304.14

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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.