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Finding the Fourth Proportional to 151,876.83, 209,590.44 and 83,892.60

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Solution

The fourth proportional to 151,876.83, 209,590.44 and 83,892.60 is: 115,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,876.83 : 209,590.44 = 83,892.60 : x
  2. Step 2: Convert to fraction form
    151,876.83/209,590.44 = 83,892.60/x
  3. Step 3: Cross multiply
    151,876.83x = 209,590.44 × 83,892.60
  4. Step 4: Simplify right side
    151,876.83x = 17,583,086,946.74
  5. Step 5: Solve for x
    x = 17,583,086,946.74/151,876.83
  6. Step 6: Final answer
    x = 115,772.02

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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.