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Finding the Fourth Proportional to 193,525.80, 290,322.74 and 88,355.40

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Solution

The fourth proportional to 193,525.80, 290,322.74 and 88,355.40 is: 132,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,525.80 : 290,322.74 = 88,355.40 : x
  2. Step 2: Convert to fraction form
    193,525.80/290,322.74 = 88,355.40/x
  3. Step 3: Cross multiply
    193,525.80x = 290,322.74 × 88,355.40
  4. Step 4: Simplify right side
    193,525.80x = 25,651,581,821.80
  5. Step 5: Solve for x
    x = 25,651,581,821.80/193,525.80
  6. Step 6: Final answer
    x = 132,548.64

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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.