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Finding the Fourth Proportional to 242,242.20, 362,707.20 and 189,754.20

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Solution

The fourth proportional to 242,242.20, 362,707.20 and 189,754.20 is: 284,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,242.20 : 362,707.20 = 189,754.20 : x
  2. Step 2: Convert to fraction form
    242,242.20/362,707.20 = 189,754.20/x
  3. Step 3: Cross multiply
    242,242.20x = 362,707.20 × 189,754.20
  4. Step 4: Simplify right side
    242,242.20x = 68,825,214,570.24
  5. Step 5: Solve for x
    x = 68,825,214,570.24/242,242.20
  6. Step 6: Final answer
    x = 284,117.36

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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.