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Finding the Fourth Proportional to 117,224.92, 175,968.60 and 77,858.92

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Solution

The fourth proportional to 117,224.92, 175,968.60 and 77,858.92 is: 116,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,224.92 : 175,968.60 = 77,858.92 : x
  2. Step 2: Convert to fraction form
    117,224.92/175,968.60 = 77,858.92/x
  3. Step 3: Cross multiply
    117,224.92x = 175,968.60 × 77,858.92
  4. Step 4: Simplify right side
    117,224.92x = 13,700,725,149.91
  5. Step 5: Solve for x
    x = 13,700,725,149.91/117,224.92
  6. Step 6: Final answer
    x = 116,875.53

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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.