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Finding the Fourth Proportional to 557,193.72, 835,780.86 and 136,473.24

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Solution

The fourth proportional to 557,193.72, 835,780.86 and 136,473.24 is: 204,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,193.72 : 835,780.86 = 136,473.24 : x
  2. Step 2: Convert to fraction form
    557,193.72/835,780.86 = 136,473.24/x
  3. Step 3: Cross multiply
    557,193.72x = 835,780.86 × 136,473.24
  4. Step 4: Simplify right side
    557,193.72x = 114,061,721,894.19
  5. Step 5: Solve for x
    x = 114,061,721,894.19/557,193.72
  6. Step 6: Final answer
    x = 204,707.48

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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.