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Finding the Fourth Proportional to 136,133.46, 204,200.28 and 42,646.50

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Solution

The fourth proportional to 136,133.46, 204,200.28 and 42,646.50 is: 63,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,133.46 : 204,200.28 = 42,646.50 : x
  2. Step 2: Convert to fraction form
    136,133.46/204,200.28 = 42,646.50/x
  3. Step 3: Cross multiply
    136,133.46x = 204,200.28 × 42,646.50
  4. Step 4: Simplify right side
    136,133.46x = 8,708,427,241.02
  5. Step 5: Solve for x
    x = 8,708,427,241.02/136,133.46
  6. Step 6: Final answer
    x = 63,969.78

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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.