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Finding the Fourth Proportional to 193,511.63, 290,285.78 and 75,192.10

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Solution

The fourth proportional to 193,511.63, 290,285.78 and 75,192.10 is: 112,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,511.63 : 290,285.78 = 75,192.10 : x
  2. Step 2: Convert to fraction form
    193,511.63/290,285.78 = 75,192.10/x
  3. Step 3: Cross multiply
    193,511.63x = 290,285.78 × 75,192.10
  4. Step 4: Simplify right side
    193,511.63x = 21,827,196,296.66
  5. Step 5: Solve for x
    x = 21,827,196,296.66/193,511.63
  6. Step 6: Final answer
    x = 112,795.27

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1.5x scale

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.