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Finding the Fourth Proportional to 157,889.96, 237,003.46 and 67,977.16

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Solution

The fourth proportional to 157,889.96, 237,003.46 and 67,977.16 is: 102,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,889.96 : 237,003.46 = 67,977.16 : x
  2. Step 2: Convert to fraction form
    157,889.96/237,003.46 = 67,977.16/x
  3. Step 3: Cross multiply
    157,889.96x = 237,003.46 × 67,977.16
  4. Step 4: Simplify right side
    157,889.96x = 16,110,822,120.97
  5. Step 5: Solve for x
    x = 16,110,822,120.97/157,889.96
  6. Step 6: Final answer
    x = 102,038.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.