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Finding the Fourth Proportional to 209,549.80, 314,324.70 and 150,938.20

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Solution

The fourth proportional to 209,549.80, 314,324.70 and 150,938.20 is: 226,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,549.80 : 314,324.70 = 150,938.20 : x
  2. Step 2: Convert to fraction form
    209,549.80/314,324.70 = 150,938.20/x
  3. Step 3: Cross multiply
    209,549.80x = 314,324.70 × 150,938.20
  4. Step 4: Simplify right side
    209,549.80x = 47,443,604,433.54
  5. Step 5: Solve for x
    x = 47,443,604,433.54/209,549.80
  6. Step 6: Final answer
    x = 226,407.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.