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Finding the Fourth Proportional to 157,820.91, 217,803.98 and 89,837.92

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Solution

The fourth proportional to 157,820.91, 217,803.98 and 89,837.92 is: 123,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,820.91 : 217,803.98 = 89,837.92 : x
  2. Step 2: Convert to fraction form
    157,820.91/217,803.98 = 89,837.92/x
  3. Step 3: Cross multiply
    157,820.91x = 217,803.98 × 89,837.92
  4. Step 4: Simplify right side
    157,820.91x = 19,567,054,992.71
  5. Step 5: Solve for x
    x = 19,567,054,992.71/157,820.91
  6. Step 6: Final answer
    x = 123,982.65

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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.