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Finding the Fourth Proportional to 136,152.46, 204,228.78 and 42,665.50

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Solution

The fourth proportional to 136,152.46, 204,228.78 and 42,665.50 is: 63,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,152.46 : 204,228.78 = 42,665.50 : x
  2. Step 2: Convert to fraction form
    136,152.46/204,228.78 = 42,665.50/x
  3. Step 3: Cross multiply
    136,152.46x = 204,228.78 × 42,665.50
  4. Step 4: Simplify right side
    136,152.46x = 8,713,523,013.09
  5. Step 5: Solve for x
    x = 8,713,523,013.09/136,152.46
  6. Step 6: Final answer
    x = 63,998.28

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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.