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Finding the Fourth Proportional to 242,084.30, 334,315.89 and 199,485.86

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Solution

The fourth proportional to 242,084.30, 334,315.89 and 199,485.86 is: 275,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,084.30 : 334,315.89 = 199,485.86 : x
  2. Step 2: Convert to fraction form
    242,084.30/334,315.89 = 199,485.86/x
  3. Step 3: Cross multiply
    242,084.30x = 334,315.89 × 199,485.86
  4. Step 4: Simplify right side
    242,084.30x = 66,691,291,156.74
  5. Step 5: Solve for x
    x = 66,691,291,156.74/242,084.30
  6. Step 6: Final answer
    x = 275,487.89

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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.