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Finding the Fourth Proportional to 205,130.40, 307,695.60 and 149,143.20

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Solution

The fourth proportional to 205,130.40, 307,695.60 and 149,143.20 is: 223,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,130.40 : 307,695.60 = 149,143.20 : x
  2. Step 2: Convert to fraction form
    205,130.40/307,695.60 = 149,143.20/x
  3. Step 3: Cross multiply
    205,130.40x = 307,695.60 × 149,143.20
  4. Step 4: Simplify right side
    205,130.40x = 45,890,706,409.92
  5. Step 5: Solve for x
    x = 45,890,706,409.92/205,130.40
  6. Step 6: Final answer
    x = 223,714.80

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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.