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Finding the Fourth Proportional to 197,709.68, 272,813.16 and 112,821.68

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Solution

The fourth proportional to 197,709.68, 272,813.16 and 112,821.68 is: 155,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,709.68 : 272,813.16 = 112,821.68 : x
  2. Step 2: Convert to fraction form
    197,709.68/272,813.16 = 112,821.68/x
  3. Step 3: Cross multiply
    197,709.68x = 272,813.16 × 112,821.68
  4. Step 4: Simplify right side
    197,709.68x = 30,779,239,037.31
  5. Step 5: Solve for x
    x = 30,779,239,037.31/197,709.68
  6. Step 6: Final answer
    x = 155,678.97

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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.