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Finding the Fourth Proportional to 193,782.99, 290,379.24 and 99,009.35

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Solution

The fourth proportional to 193,782.99, 290,379.24 and 99,009.35 is: 148,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,782.99 : 290,379.24 = 99,009.35 : x
  2. Step 2: Convert to fraction form
    193,782.99/290,379.24 = 99,009.35/x
  3. Step 3: Cross multiply
    193,782.99x = 290,379.24 × 99,009.35
  4. Step 4: Simplify right side
    193,782.99x = 28,750,259,442.92
  5. Step 5: Solve for x
    x = 28,750,259,442.92/193,782.99
  6. Step 6: Final answer
    x = 148,363.17

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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.