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Finding the Fourth Proportional to 151,843.52, 209,533.08 and 83,849.60

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Solution

The fourth proportional to 151,843.52, 209,533.08 and 83,849.60 is: 115,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,843.52 : 209,533.08 = 83,849.60 : x
  2. Step 2: Convert to fraction form
    151,843.52/209,533.08 = 83,849.60/x
  3. Step 3: Cross multiply
    151,843.52x = 209,533.08 × 83,849.60
  4. Step 4: Simplify right side
    151,843.52x = 17,569,264,944.77
  5. Step 5: Solve for x
    x = 17,569,264,944.77/151,843.52
  6. Step 6: Final answer
    x = 115,706.39

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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.