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Finding the Fourth Proportional to 157,884, 236,942.64 and 74,778

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Solution

The fourth proportional to 157,884, 236,942.64 and 74,778 is: 112,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,884 : 236,942.64 = 74,778 : x
  2. Step 2: Convert to fraction form
    157,884/236,942.64 = 74,778/x
  3. Step 3: Cross multiply
    157,884x = 236,942.64 × 74,778
  4. Step 4: Simplify right side
    157,884x = 17,718,096,733.92
  5. Step 5: Solve for x
    x = 17,718,096,733.92/157,884
  6. Step 6: Final answer
    x = 112,222.24

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