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Finding the Fourth Proportional to 314,119.14, 471,183.71 and 77,461.90

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Solution

The fourth proportional to 314,119.14, 471,183.71 and 77,461.90 is: 116,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,119.14 : 471,183.71 = 77,461.90 : x
  2. Step 2: Convert to fraction form
    314,119.14/471,183.71 = 77,461.90/x
  3. Step 3: Cross multiply
    314,119.14x = 471,183.71 × 77,461.90
  4. Step 4: Simplify right side
    314,119.14x = 36,498,785,425.65
  5. Step 5: Solve for x
    x = 36,498,785,425.65/314,119.14
  6. Step 6: Final answer
    x = 116,194.08

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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.