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Finding the Fourth Proportional to 314,145.87, 471,216.63 and 127,154.67

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Solution

The fourth proportional to 314,145.87, 471,216.63 and 127,154.67 is: 190,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,145.87 : 471,216.63 = 127,154.67 : x
  2. Step 2: Convert to fraction form
    314,145.87/471,216.63 = 127,154.67/x
  3. Step 3: Cross multiply
    314,145.87x = 471,216.63 × 127,154.67
  4. Step 4: Simplify right side
    314,145.87x = 59,917,395,086.16
  5. Step 5: Solve for x
    x = 59,917,395,086.16/314,145.87
  6. Step 6: Final answer
    x = 190,731.12

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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.