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Finding the Fourth Proportional to 242,538.06, 334,712.85 and 135,108.06

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Solution

The fourth proportional to 242,538.06, 334,712.85 and 135,108.06 is: 186,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,538.06 : 334,712.85 = 135,108.06 : x
  2. Step 2: Convert to fraction form
    242,538.06/334,712.85 = 135,108.06/x
  3. Step 3: Cross multiply
    242,538.06x = 334,712.85 × 135,108.06
  4. Step 4: Simplify right side
    242,538.06x = 45,222,403,820.57
  5. Step 5: Solve for x
    x = 45,222,403,820.57/242,538.06
  6. Step 6: Final answer
    x = 186,454.88

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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.