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Finding the Fourth Proportional to 242,053.44, 333,799.20 and 161,484.24

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Solution

The fourth proportional to 242,053.44, 333,799.20 and 161,484.24 is: 222,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,053.44 : 333,799.20 = 161,484.24 : x
  2. Step 2: Convert to fraction form
    242,053.44/333,799.20 = 161,484.24/x
  3. Step 3: Cross multiply
    242,053.44x = 333,799.20 × 161,484.24
  4. Step 4: Simplify right side
    242,053.44x = 53,903,310,124.61
  5. Step 5: Solve for x
    x = 53,903,310,124.61/242,053.44
  6. Step 6: Final answer
    x = 222,691.77

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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.