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Finding the Fourth Proportional to 193,636.35, 290,207.12 and 156,214.07

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Solution

The fourth proportional to 193,636.35, 290,207.12 and 156,214.07 is: 234,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,636.35 : 290,207.12 = 156,214.07 : x
  2. Step 2: Convert to fraction form
    193,636.35/290,207.12 = 156,214.07/x
  3. Step 3: Cross multiply
    193,636.35x = 290,207.12 × 156,214.07
  4. Step 4: Simplify right side
    193,636.35x = 45,334,433,126.07
  5. Step 5: Solve for x
    x = 45,334,433,126.07/193,636.35
  6. Step 6: Final answer
    x = 234,121.50

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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.