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Finding the Fourth Proportional to 181,492.21, 271,863.79 and 106,384.28

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Solution

The fourth proportional to 181,492.21, 271,863.79 and 106,384.28 is: 159,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,492.21 : 271,863.79 = 106,384.28 : x
  2. Step 2: Convert to fraction form
    181,492.21/271,863.79 = 106,384.28/x
  3. Step 3: Cross multiply
    181,492.21x = 271,863.79 × 106,384.28
  4. Step 4: Simplify right side
    181,492.21x = 28,922,033,970.92
  5. Step 5: Solve for x
    x = 28,922,033,970.92/181,492.21
  6. Step 6: Final answer
    x = 159,356.89

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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.