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Finding the Fourth Proportional to 193,661.60, 290,492.40 and 114,735.20

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Solution

The fourth proportional to 193,661.60, 290,492.40 and 114,735.20 is: 172,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,661.60 : 290,492.40 = 114,735.20 : x
  2. Step 2: Convert to fraction form
    193,661.60/290,492.40 = 114,735.20/x
  3. Step 3: Cross multiply
    193,661.60x = 290,492.40 × 114,735.20
  4. Step 4: Simplify right side
    193,661.60x = 33,329,703,612.48
  5. Step 5: Solve for x
    x = 33,329,703,612.48/193,661.60
  6. Step 6: Final answer
    x = 172,102.80

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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.