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Finding the Fourth Proportional to 217,276.80, 325,526.40 and 177,619.20

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Solution

The fourth proportional to 217,276.80, 325,526.40 and 177,619.20 is: 266,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,276.80 : 325,526.40 = 177,619.20 : x
  2. Step 2: Convert to fraction form
    217,276.80/325,526.40 = 177,619.20/x
  3. Step 3: Cross multiply
    217,276.80x = 325,526.40 × 177,619.20
  4. Step 4: Simplify right side
    217,276.80x = 57,819,738,746.88
  5. Step 5: Solve for x
    x = 57,819,738,746.88/217,276.80
  6. Step 6: Final answer
    x = 266,110.96

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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.