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Finding the Fourth Proportional to 242,311.68, 333,954.24 and 197,139.24

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Solution

The fourth proportional to 242,311.68, 333,954.24 and 197,139.24 is: 271,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,311.68 : 333,954.24 = 197,139.24 : x
  2. Step 2: Convert to fraction form
    242,311.68/333,954.24 = 197,139.24/x
  3. Step 3: Cross multiply
    242,311.68x = 333,954.24 × 197,139.24
  4. Step 4: Simplify right side
    242,311.68x = 65,835,485,068.38
  5. Step 5: Solve for x
    x = 65,835,485,068.38/242,311.68
  6. Step 6: Final answer
    x = 271,697.53

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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.