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Finding the Fourth Proportional to 193,783.99, 290,380.74 and 99,010.35

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Solution

The fourth proportional to 193,783.99, 290,380.74 and 99,010.35 is: 148,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,783.99 : 290,380.74 = 99,010.35 : x
  2. Step 2: Convert to fraction form
    193,783.99/290,380.74 = 99,010.35/x
  3. Step 3: Cross multiply
    193,783.99x = 290,380.74 × 99,010.35
  4. Step 4: Simplify right side
    193,783.99x = 28,750,698,700.66
  5. Step 5: Solve for x
    x = 28,750,698,700.66/193,783.99
  6. Step 6: Final answer
    x = 148,364.68

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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.