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Finding the Fourth Proportional to 193,952.19, 290,933.16 and 53,712.03

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Solution

The fourth proportional to 193,952.19, 290,933.16 and 53,712.03 is: 80,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,952.19 : 290,933.16 = 53,712.03 : x
  2. Step 2: Convert to fraction form
    193,952.19/290,933.16 = 53,712.03/x
  3. Step 3: Cross multiply
    193,952.19x = 290,933.16 × 53,712.03
  4. Step 4: Simplify right side
    193,952.19x = 15,626,610,617.91
  5. Step 5: Solve for x
    x = 15,626,610,617.91/193,952.19
  6. Step 6: Final answer
    x = 80,569.40

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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.