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Finding the Fourth Proportional to 193,992.90, 291,208.05 and 115,151.55

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Solution

The fourth proportional to 193,992.90, 291,208.05 and 115,151.55 is: 172,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,992.90 : 291,208.05 = 115,151.55 : x
  2. Step 2: Convert to fraction form
    193,992.90/291,208.05 = 115,151.55/x
  3. Step 3: Cross multiply
    193,992.90x = 291,208.05 × 115,151.55
  4. Step 4: Simplify right side
    193,992.90x = 33,533,058,329.98
  5. Step 5: Solve for x
    x = 33,533,058,329.98/193,992.90
  6. Step 6: Final answer
    x = 172,857.14

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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.