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Finding the Fourth Proportional to 200,124.53, 299,792.32 and 162,726.83

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Solution

The fourth proportional to 200,124.53, 299,792.32 and 162,726.83 is: 243,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,124.53 : 299,792.32 = 162,726.83 : x
  2. Step 2: Convert to fraction form
    200,124.53/299,792.32 = 162,726.83/x
  3. Step 3: Cross multiply
    200,124.53x = 299,792.32 × 162,726.83
  4. Step 4: Simplify right side
    200,124.53x = 48,784,253,891.95
  5. Step 5: Solve for x
    x = 48,784,253,891.95/200,124.53
  6. Step 6: Final answer
    x = 243,769.49

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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.