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Finding the Fourth Proportional to 157,013.22, 216,629.36 and 89,024.86

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Solution

The fourth proportional to 157,013.22, 216,629.36 and 89,024.86 is: 122,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,013.22 : 216,629.36 = 89,024.86 : x
  2. Step 2: Convert to fraction form
    157,013.22/216,629.36 = 89,024.86/x
  3. Step 3: Cross multiply
    157,013.22x = 216,629.36 × 89,024.86
  4. Step 4: Simplify right side
    157,013.22x = 19,285,397,637.24
  5. Step 5: Solve for x
    x = 19,285,397,637.24/157,013.22
  6. Step 6: Final answer
    x = 122,826.59

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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.