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Finding the Fourth Proportional to 243,233.12, 364,824 and 115,118.72

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Solution

The fourth proportional to 243,233.12, 364,824 and 115,118.72 is: 172,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,233.12 : 364,824 = 115,118.72 : x
  2. Step 2: Convert to fraction form
    243,233.12/364,824 = 115,118.72/x
  3. Step 3: Cross multiply
    243,233.12x = 364,824 × 115,118.72
  4. Step 4: Simplify right side
    243,233.12x = 41,998,071,905.28
  5. Step 5: Solve for x
    x = 41,998,071,905.28/243,233.12
  6. Step 6: Final answer
    x = 172,665.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.