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Finding the Fourth Proportional to 314,129.37, 471,191.90 and 127,138.17

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Solution

The fourth proportional to 314,129.37, 471,191.90 and 127,138.17 is: 190,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,129.37 : 471,191.90 = 127,138.17 : x
  2. Step 2: Convert to fraction form
    314,129.37/471,191.90 = 127,138.17/x
  3. Step 3: Cross multiply
    314,129.37x = 471,191.90 × 127,138.17
  4. Step 4: Simplify right side
    314,129.37x = 59,906,475,249.13
  5. Step 5: Solve for x
    x = 59,906,475,249.13/314,129.37
  6. Step 6: Final answer
    x = 190,706.38

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1.5x scale

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.