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Finding the Fourth Proportional to 190,876.40, 286,314.60 and 164,049.20

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Solution

The fourth proportional to 190,876.40, 286,314.60 and 164,049.20 is: 246,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,876.40 : 286,314.60 = 164,049.20 : x
  2. Step 2: Convert to fraction form
    190,876.40/286,314.60 = 164,049.20/x
  3. Step 3: Cross multiply
    190,876.40x = 286,314.60 × 164,049.20
  4. Step 4: Simplify right side
    190,876.40x = 46,969,681,078.32
  5. Step 5: Solve for x
    x = 46,969,681,078.32/190,876.40
  6. Step 6: Final answer
    x = 246,073.80

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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.