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Finding the Fourth Proportional to 299,803.08, 413,723.16 and 163,834.08

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Solution

The fourth proportional to 299,803.08, 413,723.16 and 163,834.08 is: 226,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,803.08 : 413,723.16 = 163,834.08 : x
  2. Step 2: Convert to fraction form
    299,803.08/413,723.16 = 163,834.08/x
  3. Step 3: Cross multiply
    299,803.08x = 413,723.16 × 163,834.08
  4. Step 4: Simplify right side
    299,803.08x = 67,781,953,293.29
  5. Step 5: Solve for x
    x = 67,781,953,293.29/299,803.08
  6. Step 6: Final answer
    x = 226,088.25

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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.