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Finding the Fourth Proportional to 242,049, 334,025.76 and 133,150.99

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Solution

The fourth proportional to 242,049, 334,025.76 and 133,150.99 is: 183,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,049 : 334,025.76 = 133,150.99 : x
  2. Step 2: Convert to fraction form
    242,049/334,025.76 = 133,150.99/x
  3. Step 3: Cross multiply
    242,049x = 334,025.76 × 133,150.99
  4. Step 4: Simplify right side
    242,049x = 44,475,859,794.44
  5. Step 5: Solve for x
    x = 44,475,859,794.44/242,049
  6. Step 6: Final answer
    x = 183,747.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.