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Finding the Fourth Proportional to 227,622.80, 341,628.60 and 101,457.20

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Solution

The fourth proportional to 227,622.80, 341,628.60 and 101,457.20 is: 152,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,622.80 : 341,628.60 = 101,457.20 : x
  2. Step 2: Convert to fraction form
    227,622.80/341,628.60 = 101,457.20/x
  3. Step 3: Cross multiply
    227,622.80x = 341,628.60 × 101,457.20
  4. Step 4: Simplify right side
    227,622.80x = 34,660,681,195.92
  5. Step 5: Solve for x
    x = 34,660,681,195.92/227,622.80
  6. Step 6: Final answer
    x = 152,272.45

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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.