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Finding the Fourth Proportional to 193,735.80, 290,085.30 and 123,233.40

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Solution

The fourth proportional to 193,735.80, 290,085.30 and 123,233.40 is: 184,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,735.80 : 290,085.30 = 123,233.40 : x
  2. Step 2: Convert to fraction form
    193,735.80/290,085.30 = 123,233.40/x
  3. Step 3: Cross multiply
    193,735.80x = 290,085.30 × 123,233.40
  4. Step 4: Simplify right side
    193,735.80x = 35,748,197,809.02
  5. Step 5: Solve for x
    x = 35,748,197,809.02/193,735.80
  6. Step 6: Final answer
    x = 184,520.35

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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.