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Finding the Fourth Proportional to 242,646, 334,812.08 and 140,651.56

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Solution

The fourth proportional to 242,646, 334,812.08 and 140,651.56 is: 194,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,646 : 334,812.08 = 140,651.56 : x
  2. Step 2: Convert to fraction form
    242,646/334,812.08 = 140,651.56/x
  3. Step 3: Cross multiply
    242,646x = 334,812.08 × 140,651.56
  4. Step 4: Simplify right side
    242,646x = 47,091,841,358.84
  5. Step 5: Solve for x
    x = 47,091,841,358.84/242,646
  6. Step 6: Final answer
    x = 194,076.31

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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.