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Finding the Fourth Proportional to 197,253.16, 295,850.58 and 72,565

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Solution

The fourth proportional to 197,253.16, 295,850.58 and 72,565 is: 108,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,253.16 : 295,850.58 = 72,565 : x
  2. Step 2: Convert to fraction form
    197,253.16/295,850.58 = 72,565/x
  3. Step 3: Cross multiply
    197,253.16x = 295,850.58 × 72,565
  4. Step 4: Simplify right side
    197,253.16x = 21,468,397,337.70
  5. Step 5: Solve for x
    x = 21,468,397,337.70/197,253.16
  6. Step 6: Final answer
    x = 108,836.77

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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.