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Finding the Fourth Proportional to 151,058, 208,460.40 and 84,002.96

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Solution

The fourth proportional to 151,058, 208,460.40 and 84,002.96 is: 115,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,058 : 208,460.40 = 84,002.96 : x
  2. Step 2: Convert to fraction form
    151,058/208,460.40 = 84,002.96/x
  3. Step 3: Cross multiply
    151,058x = 208,460.40 × 84,002.96
  4. Step 4: Simplify right side
    151,058x = 17,511,290,642.78
  5. Step 5: Solve for x
    x = 17,511,290,642.78/151,058
  6. Step 6: Final answer
    x = 115,924.28

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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.