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Finding the Fourth Proportional to 205,578, 283,697.64 and 116,154

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Solution

The fourth proportional to 205,578, 283,697.64 and 116,154 is: 160,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,578 : 283,697.64 = 116,154 : x
  2. Step 2: Convert to fraction form
    205,578/283,697.64 = 116,154/x
  3. Step 3: Cross multiply
    205,578x = 283,697.64 × 116,154
  4. Step 4: Simplify right side
    205,578x = 32,952,615,676.56
  5. Step 5: Solve for x
    x = 32,952,615,676.56/205,578
  6. Step 6: Final answer
    x = 160,292.52

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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.