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Finding the Fourth Proportional to 315,021.30, 472,409.10 and 137,407.20

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Solution

The fourth proportional to 315,021.30, 472,409.10 and 137,407.20 is: 206,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,021.30 : 472,409.10 = 137,407.20 : x
  2. Step 2: Convert to fraction form
    315,021.30/472,409.10 = 137,407.20/x
  3. Step 3: Cross multiply
    315,021.30x = 472,409.10 × 137,407.20
  4. Step 4: Simplify right side
    315,021.30x = 64,912,411,685.52
  5. Step 5: Solve for x
    x = 64,912,411,685.52/315,021.30
  6. Step 6: Final answer
    x = 206,057.21

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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.