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Finding the Fourth Proportional to 233,354.13, 350,031.20 and 67,142.13

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Solution

The fourth proportional to 233,354.13, 350,031.20 and 67,142.13 is: 100,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,354.13 : 350,031.20 = 67,142.13 : x
  2. Step 2: Convert to fraction form
    233,354.13/350,031.20 = 67,142.13/x
  3. Step 3: Cross multiply
    233,354.13x = 350,031.20 × 67,142.13
  4. Step 4: Simplify right side
    233,354.13x = 23,501,840,334.46
  5. Step 5: Solve for x
    x = 23,501,840,334.46/233,354.13
  6. Step 6: Final answer
    x = 100,713.20

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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.