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Finding the Fourth Proportional to 97,811.25, 146,477.60 and 88,344.84

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Solution

The fourth proportional to 97,811.25, 146,477.60 and 88,344.84 is: 132,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,811.25 : 146,477.60 = 88,344.84 : x
  2. Step 2: Convert to fraction form
    97,811.25/146,477.60 = 88,344.84/x
  3. Step 3: Cross multiply
    97,811.25x = 146,477.60 × 88,344.84
  4. Step 4: Simplify right side
    97,811.25x = 12,940,539,693.86
  5. Step 5: Solve for x
    x = 12,940,539,693.86/97,811.25
  6. Step 6: Final answer
    x = 132,301.14

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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.