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Finding the Fourth Proportional to 162,807.23, 244,014.01 and 83,878.40

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Solution

The fourth proportional to 162,807.23, 244,014.01 and 83,878.40 is: 125,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,807.23 : 244,014.01 = 83,878.40 : x
  2. Step 2: Convert to fraction form
    162,807.23/244,014.01 = 83,878.40/x
  3. Step 3: Cross multiply
    162,807.23x = 244,014.01 × 83,878.40
  4. Step 4: Simplify right side
    162,807.23x = 20,467,504,736.38
  5. Step 5: Solve for x
    x = 20,467,504,736.38/162,807.23
  6. Step 6: Final answer
    x = 125,716.19

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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.