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Finding the Fourth Proportional to 193,689.74, 290,551.35 and 53,448.36

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Solution

The fourth proportional to 193,689.74, 290,551.35 and 53,448.36 is: 80,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,689.74 : 290,551.35 = 53,448.36 : x
  2. Step 2: Convert to fraction form
    193,689.74/290,551.35 = 53,448.36/x
  3. Step 3: Cross multiply
    193,689.74x = 290,551.35 × 53,448.36
  4. Step 4: Simplify right side
    193,689.74x = 15,529,493,153.29
  5. Step 5: Solve for x
    x = 15,529,493,153.29/193,689.74
  6. Step 6: Final answer
    x = 80,177.16

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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.