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Finding the Fourth Proportional to 301,597.07, 416,211.31 and 163,781.90

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Solution

The fourth proportional to 301,597.07, 416,211.31 and 163,781.90 is: 226,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,597.07 : 416,211.31 = 163,781.90 : x
  2. Step 2: Convert to fraction form
    301,597.07/416,211.31 = 163,781.90/x
  3. Step 3: Cross multiply
    301,597.07x = 416,211.31 × 163,781.90
  4. Step 4: Simplify right side
    301,597.07x = 68,167,878,837.75
  5. Step 5: Solve for x
    x = 68,167,878,837.75/301,597.07
  6. Step 6: Final answer
    x = 226,023.01

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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.