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Finding the Fourth Proportional to 299,693.16, 413,569.53 and 163,727.82

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Solution

The fourth proportional to 299,693.16, 413,569.53 and 163,727.82 is: 225,940.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,693.16 : 413,569.53 = 163,727.82 : x
  2. Step 2: Convert to fraction form
    299,693.16/413,569.53 = 163,727.82/x
  3. Step 3: Cross multiply
    299,693.16x = 413,569.53 × 163,727.82
  4. Step 4: Simplify right side
    299,693.16x = 67,712,837,565.32
  5. Step 5: Solve for x
    x = 67,712,837,565.32/299,693.16
  6. Step 6: Final answer
    x = 225,940.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.