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Finding the Fourth Proportional to 314,166.40, 471,093.88 and 111,732.16

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Solution

The fourth proportional to 314,166.40, 471,093.88 and 111,732.16 is: 167,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,166.40 : 471,093.88 = 111,732.16 : x
  2. Step 2: Convert to fraction form
    314,166.40/471,093.88 = 111,732.16/x
  3. Step 3: Cross multiply
    314,166.40x = 471,093.88 × 111,732.16
  4. Step 4: Simplify right side
    314,166.40x = 52,636,336,775.18
  5. Step 5: Solve for x
    x = 52,636,336,775.18/314,166.40
  6. Step 6: Final answer
    x = 167,542.86

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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.