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Finding the Fourth Proportional to 314,742.72, 472,187.83 and 125,213.86

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Solution

The fourth proportional to 314,742.72, 472,187.83 and 125,213.86 is: 187,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,742.72 : 472,187.83 = 125,213.86 : x
  2. Step 2: Convert to fraction form
    314,742.72/472,187.83 = 125,213.86/x
  3. Step 3: Cross multiply
    314,742.72x = 472,187.83 × 125,213.86
  4. Step 4: Simplify right side
    314,742.72x = 59,124,460,839.32
  5. Step 5: Solve for x
    x = 59,124,460,839.32/314,742.72
  6. Step 6: Final answer
    x = 187,850.13

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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.