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Finding the Fourth Proportional to 177,563.40, 266,496.30 and 72,457.80

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Solution

The fourth proportional to 177,563.40, 266,496.30 and 72,457.80 is: 108,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,563.40 : 266,496.30 = 72,457.80 : x
  2. Step 2: Convert to fraction form
    177,563.40/266,496.30 = 72,457.80/x
  3. Step 3: Cross multiply
    177,563.40x = 266,496.30 × 72,457.80
  4. Step 4: Simplify right side
    177,563.40x = 19,309,735,606.14
  5. Step 5: Solve for x
    x = 19,309,735,606.14/177,563.40
  6. Step 6: Final answer
    x = 108,748.40

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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.