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Finding the Fourth Proportional to 180,352.50, 270,573.30 and 55,693.50

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Solution

The fourth proportional to 180,352.50, 270,573.30 and 55,693.50 is: 83,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,352.50 : 270,573.30 = 55,693.50 : x
  2. Step 2: Convert to fraction form
    180,352.50/270,573.30 = 55,693.50/x
  3. Step 3: Cross multiply
    180,352.50x = 270,573.30 × 55,693.50
  4. Step 4: Simplify right side
    180,352.50x = 15,069,174,083.55
  5. Step 5: Solve for x
    x = 15,069,174,083.55/180,352.50
  6. Step 6: Final answer
    x = 83,554.01

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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.