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Finding the Fourth Proportional to 242,597.40, 363,896.10 and 154,023.90

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Solution

The fourth proportional to 242,597.40, 363,896.10 and 154,023.90 is: 231,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,597.40 : 363,896.10 = 154,023.90 : x
  2. Step 2: Convert to fraction form
    242,597.40/363,896.10 = 154,023.90/x
  3. Step 3: Cross multiply
    242,597.40x = 363,896.10 × 154,023.90
  4. Step 4: Simplify right side
    242,597.40x = 56,048,696,516.79
  5. Step 5: Solve for x
    x = 56,048,696,516.79/242,597.40
  6. Step 6: Final answer
    x = 231,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.