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Finding the Fourth Proportional to 142,844.40, 214,281.18 and 49,338

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Solution

The fourth proportional to 142,844.40, 214,281.18 and 49,338 is: 74,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,844.40 : 214,281.18 = 49,338 : x
  2. Step 2: Convert to fraction form
    142,844.40/214,281.18 = 49,338/x
  3. Step 3: Cross multiply
    142,844.40x = 214,281.18 × 49,338
  4. Step 4: Simplify right side
    142,844.40x = 10,572,204,858.84
  5. Step 5: Solve for x
    x = 10,572,204,858.84/142,844.40
  6. Step 6: Final answer
    x = 74,012.04

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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.