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Finding the Fourth Proportional to 194,853, 268,897.32 and 109,968.24

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Solution

The fourth proportional to 194,853, 268,897.32 and 109,968.24 is: 151,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853 : 268,897.32 = 109,968.24 : x
  2. Step 2: Convert to fraction form
    194,853/268,897.32 = 109,968.24/x
  3. Step 3: Cross multiply
    194,853x = 268,897.32 × 109,968.24
  4. Step 4: Simplify right side
    194,853x = 29,570,165,021.12
  5. Step 5: Solve for x
    x = 29,570,165,021.12/194,853
  6. Step 6: Final answer
    x = 151,756.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.