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Finding the Fourth Proportional to 302,679.96, 454,300.02 and 153,025.80

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Solution

The fourth proportional to 302,679.96, 454,300.02 and 153,025.80 is: 229,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,679.96 : 454,300.02 = 153,025.80 : x
  2. Step 2: Convert to fraction form
    302,679.96/454,300.02 = 153,025.80/x
  3. Step 3: Cross multiply
    302,679.96x = 454,300.02 × 153,025.80
  4. Step 4: Simplify right side
    302,679.96x = 69,519,624,000.52
  5. Step 5: Solve for x
    x = 69,519,624,000.52/302,679.96
  6. Step 6: Final answer
    x = 229,680.30

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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.