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Finding the Fourth Proportional to 147,581.78, 203,644.12 and 83,920.90

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Solution

The fourth proportional to 147,581.78, 203,644.12 and 83,920.90 is: 115,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,581.78 : 203,644.12 = 83,920.90 : x
  2. Step 2: Convert to fraction form
    147,581.78/203,644.12 = 83,920.90/x
  3. Step 3: Cross multiply
    147,581.78x = 203,644.12 × 83,920.90
  4. Step 4: Simplify right side
    147,581.78x = 17,089,997,830.11
  5. Step 5: Solve for x
    x = 17,089,997,830.11/147,581.78
  6. Step 6: Final answer
    x = 115,800.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.