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Finding the Fourth Proportional to 152,992.86, 211,129.74 and 85,009.56

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Solution

The fourth proportional to 152,992.86, 211,129.74 and 85,009.56 is: 117,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,992.86 : 211,129.74 = 85,009.56 : x
  2. Step 2: Convert to fraction form
    152,992.86/211,129.74 = 85,009.56/x
  3. Step 3: Cross multiply
    152,992.86x = 211,129.74 × 85,009.56
  4. Step 4: Simplify right side
    152,992.86x = 17,948,046,300.31
  5. Step 5: Solve for x
    x = 17,948,046,300.31/152,992.86
  6. Step 6: Final answer
    x = 117,312.97

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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.