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Finding the Fourth Proportional to 292,015.59, 402,981.59 and 161,193.32

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Solution

The fourth proportional to 292,015.59, 402,981.59 and 161,193.32 is: 222,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,015.59 : 402,981.59 = 161,193.32 : x
  2. Step 2: Convert to fraction form
    292,015.59/402,981.59 = 161,193.32/x
  3. Step 3: Cross multiply
    292,015.59x = 402,981.59 × 161,193.32
  4. Step 4: Simplify right side
    292,015.59x = 64,957,939,383.52
  5. Step 5: Solve for x
    x = 64,957,939,383.52/292,015.59
  6. Step 6: Final answer
    x = 222,446.82

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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.