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Finding the Fourth Proportional to 143,093.35, 214,570.90 and 83,948.23

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Solution

The fourth proportional to 143,093.35, 214,570.90 and 83,948.23 is: 125,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,093.35 : 214,570.90 = 83,948.23 : x
  2. Step 2: Convert to fraction form
    143,093.35/214,570.90 = 83,948.23/x
  3. Step 3: Cross multiply
    143,093.35x = 214,570.90 × 83,948.23
  4. Step 4: Simplify right side
    143,093.35x = 18,012,847,264.51
  5. Step 5: Solve for x
    x = 18,012,847,264.51/143,093.35
  6. Step 6: Final answer
    x = 125,881.79

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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.