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Finding the Fourth Proportional to 205,205.40, 307,808.10 and 116,631.90

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Solution

The fourth proportional to 205,205.40, 307,808.10 and 116,631.90 is: 174,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,205.40 : 307,808.10 = 116,631.90 : x
  2. Step 2: Convert to fraction form
    205,205.40/307,808.10 = 116,631.90/x
  3. Step 3: Cross multiply
    205,205.40x = 307,808.10 × 116,631.90
  4. Step 4: Simplify right side
    205,205.40x = 35,900,243,538.39
  5. Step 5: Solve for x
    x = 35,900,243,538.39/205,205.40
  6. Step 6: Final answer
    x = 174,947.85

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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.