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Finding the Fourth Proportional to 802,107.38, 1,203,148.16 and 194,900.50

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Solution

The fourth proportional to 802,107.38, 1,203,148.16 and 194,900.50 is: 292,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,107.38 : 1,203,148.16 = 194,900.50 : x
  2. Step 2: Convert to fraction form
    802,107.38/1,203,148.16 = 194,900.50/x
  3. Step 3: Cross multiply
    802,107.38x = 1,203,148.16 × 194,900.50
  4. Step 4: Simplify right side
    802,107.38x = 234,494,170,967.84
  5. Step 5: Solve for x
    x = 234,494,170,967.84/802,107.38
  6. Step 6: Final answer
    x = 292,347.60

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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.