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Finding the Fourth Proportional to 146,522.60, 219,881.10 and 83,342.60

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Solution

The fourth proportional to 146,522.60, 219,881.10 and 83,342.60 is: 125,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,522.60 : 219,881.10 = 83,342.60 : x
  2. Step 2: Convert to fraction form
    146,522.60/219,881.10 = 83,342.60/x
  3. Step 3: Cross multiply
    146,522.60x = 219,881.10 × 83,342.60
  4. Step 4: Simplify right side
    146,522.60x = 18,325,462,564.86
  5. Step 5: Solve for x
    x = 18,325,462,564.86/146,522.60
  6. Step 6: Final answer
    x = 125,069.19

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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.