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Finding the Fourth Proportional to 299,798.06, 413,726.76 and 163,837.76

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Solution

The fourth proportional to 299,798.06, 413,726.76 and 163,837.76 is: 226,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,798.06 : 413,726.76 = 163,837.76 : x
  2. Step 2: Convert to fraction form
    299,798.06/413,726.76 = 163,837.76/x
  3. Step 3: Cross multiply
    299,798.06x = 413,726.76 × 163,837.76
  4. Step 4: Simplify right side
    299,798.06x = 67,784,063,541.82
  5. Step 5: Solve for x
    x = 67,784,063,541.82/299,798.06
  6. Step 6: Final answer
    x = 226,099.08

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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.