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Finding the Fourth Proportional to 153,001.86, 211,142.16 and 85,018.56

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Solution

The fourth proportional to 153,001.86, 211,142.16 and 85,018.56 is: 117,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,001.86 : 211,142.16 = 85,018.56 : x
  2. Step 2: Convert to fraction form
    153,001.86/211,142.16 = 85,018.56/x
  3. Step 3: Cross multiply
    153,001.86x = 211,142.16 × 85,018.56
  4. Step 4: Simplify right side
    153,001.86x = 17,951,002,398.49
  5. Step 5: Solve for x
    x = 17,951,002,398.49/153,001.86
  6. Step 6: Final answer
    x = 117,325.39

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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.