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Finding the Fourth Proportional to 314,107.50, 471,155.77 and 89,469.80

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Solution

The fourth proportional to 314,107.50, 471,155.77 and 89,469.80 is: 134,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,107.50 : 471,155.77 = 89,469.80 : x
  2. Step 2: Convert to fraction form
    314,107.50/471,155.77 = 89,469.80/x
  3. Step 3: Cross multiply
    314,107.50x = 471,155.77 × 89,469.80
  4. Step 4: Simplify right side
    314,107.50x = 42,154,212,033.64
  5. Step 5: Solve for x
    x = 42,154,212,033.64/314,107.50
  6. Step 6: Final answer
    x = 134,203.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.