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Finding the Fourth Proportional to 265,509.09, 366,235.16 and 157,998.87

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Solution

The fourth proportional to 265,509.09, 366,235.16 and 157,998.87 is: 217,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,509.09 : 366,235.16 = 157,998.87 : x
  2. Step 2: Convert to fraction form
    265,509.09/366,235.16 = 157,998.87/x
  3. Step 3: Cross multiply
    265,509.09x = 366,235.16 × 157,998.87
  4. Step 4: Simplify right side
    265,509.09x = 57,864,740,644.27
  5. Step 5: Solve for x
    x = 57,864,740,644.27/265,509.09
  6. Step 6: Final answer
    x = 217,938.83

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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.