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Finding the Fourth Proportional to 299,785.23, 413,703.18 and 163,820.39

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Solution

The fourth proportional to 299,785.23, 413,703.18 and 163,820.39 is: 226,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,785.23 : 413,703.18 = 163,820.39 : x
  2. Step 2: Convert to fraction form
    299,785.23/413,703.18 = 163,820.39/x
  3. Step 3: Cross multiply
    299,785.23x = 413,703.18 × 163,820.39
  4. Step 4: Simplify right side
    299,785.23x = 67,773,014,223.32
  5. Step 5: Solve for x
    x = 67,773,014,223.32/299,785.23
  6. Step 6: Final answer
    x = 226,071.89

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