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Finding the Fourth Proportional to 228,977.16, 315,781.68 and 142,944.12

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Solution

The fourth proportional to 228,977.16, 315,781.68 and 142,944.12 is: 197,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,977.16 : 315,781.68 = 142,944.12 : x
  2. Step 2: Convert to fraction form
    228,977.16/315,781.68 = 142,944.12/x
  3. Step 3: Cross multiply
    228,977.16x = 315,781.68 × 142,944.12
  4. Step 4: Simplify right side
    228,977.16x = 45,139,134,937.80
  5. Step 5: Solve for x
    x = 45,139,134,937.80/228,977.16
  6. Step 6: Final answer
    x = 197,133.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.