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Finding the Fourth Proportional to 193,337.80, 290,065.02 and 130,410.52

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Solution

The fourth proportional to 193,337.80, 290,065.02 and 130,410.52 is: 195,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,337.80 : 290,065.02 = 130,410.52 : x
  2. Step 2: Convert to fraction form
    193,337.80/290,065.02 = 130,410.52/x
  3. Step 3: Cross multiply
    193,337.80x = 290,065.02 × 130,410.52
  4. Step 4: Simplify right side
    193,337.80x = 37,827,530,092.01
  5. Step 5: Solve for x
    x = 37,827,530,092.01/193,337.80
  6. Step 6: Final answer
    x = 195,655.12

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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.