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Finding the Fourth Proportional to 259,490.52, 358,035.86 and 157,513.48

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Solution

The fourth proportional to 259,490.52, 358,035.86 and 157,513.48 is: 217,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,490.52 : 358,035.86 = 157,513.48 : x
  2. Step 2: Convert to fraction form
    259,490.52/358,035.86 = 157,513.48/x
  3. Step 3: Cross multiply
    259,490.52x = 358,035.86 × 157,513.48
  4. Step 4: Simplify right side
    259,490.52x = 56,395,474,273.39
  5. Step 5: Solve for x
    x = 56,395,474,273.39/259,490.52
  6. Step 6: Final answer
    x = 217,331.54

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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.