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Finding the Fourth Proportional to 123,894.30, 185,848.50 and 35,140.80

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Solution

The fourth proportional to 123,894.30, 185,848.50 and 35,140.80 is: 52,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,894.30 : 185,848.50 = 35,140.80 : x
  2. Step 2: Convert to fraction form
    123,894.30/185,848.50 = 35,140.80/x
  3. Step 3: Cross multiply
    123,894.30x = 185,848.50 × 35,140.80
  4. Step 4: Simplify right side
    123,894.30x = 6,530,864,968.80
  5. Step 5: Solve for x
    x = 6,530,864,968.80/123,894.30
  6. Step 6: Final answer
    x = 52,713.20

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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.