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Finding the Fourth Proportional to 282,980.64, 423,936.18 and 167,229.80

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Solution

The fourth proportional to 282,980.64, 423,936.18 and 167,229.80 is: 250,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,980.64 : 423,936.18 = 167,229.80 : x
  2. Step 2: Convert to fraction form
    282,980.64/423,936.18 = 167,229.80/x
  3. Step 3: Cross multiply
    282,980.64x = 423,936.18 × 167,229.80
  4. Step 4: Simplify right side
    282,980.64x = 70,894,762,594.16
  5. Step 5: Solve for x
    x = 70,894,762,594.16/282,980.64
  6. Step 6: Final answer
    x = 250,528.67

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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.