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Finding the Fourth Proportional to 180,357.50, 270,580.80 and 55,698.50

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Solution

The fourth proportional to 180,357.50, 270,580.80 and 55,698.50 is: 83,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,357.50 : 270,580.80 = 55,698.50 : x
  2. Step 2: Convert to fraction form
    180,357.50/270,580.80 = 55,698.50/x
  3. Step 3: Cross multiply
    180,357.50x = 270,580.80 × 55,698.50
  4. Step 4: Simplify right side
    180,357.50x = 15,070,944,688.80
  5. Step 5: Solve for x
    x = 15,070,944,688.80/180,357.50
  6. Step 6: Final answer
    x = 83,561.51

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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.