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Finding the Fourth Proportional to 172,093.83, 237,393.86 and 159,916.02

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Solution

The fourth proportional to 172,093.83, 237,393.86 and 159,916.02 is: 220,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,093.83 : 237,393.86 = 159,916.02 : x
  2. Step 2: Convert to fraction form
    172,093.83/237,393.86 = 159,916.02/x
  3. Step 3: Cross multiply
    172,093.83x = 237,393.86 × 159,916.02
  4. Step 4: Simplify right side
    172,093.83x = 37,963,080,270.36
  5. Step 5: Solve for x
    x = 37,963,080,270.36/172,093.83
  6. Step 6: Final answer
    x = 220,595.25

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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.