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Finding the Fourth Proportional to 242,665.83, 334,780.20 and 161,032.58

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Solution

The fourth proportional to 242,665.83, 334,780.20 and 161,032.58 is: 222,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,665.83 : 334,780.20 = 161,032.58 : x
  2. Step 2: Convert to fraction form
    242,665.83/334,780.20 = 161,032.58/x
  3. Step 3: Cross multiply
    242,665.83x = 334,780.20 × 161,032.58
  4. Step 4: Simplify right side
    242,665.83x = 53,910,519,524.31
  5. Step 5: Solve for x
    x = 53,910,519,524.31/242,665.83
  6. Step 6: Final answer
    x = 222,159.50

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1.5x scale

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.