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Finding the Fourth Proportional to 189,215.84, 283,460.88 and 106,168.16

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Solution

The fourth proportional to 189,215.84, 283,460.88 and 106,168.16 is: 159,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,215.84 : 283,460.88 = 106,168.16 : x
  2. Step 2: Convert to fraction form
    189,215.84/283,460.88 = 106,168.16/x
  3. Step 3: Cross multiply
    189,215.84x = 283,460.88 × 106,168.16
  4. Step 4: Simplify right side
    189,215.84x = 30,094,520,061.58
  5. Step 5: Solve for x
    x = 30,094,520,061.58/189,215.84
  6. Step 6: Final answer
    x = 159,048.63

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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.