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Finding the Fourth Proportional to 180,225.56, 248,701.22 and 99,648.24

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Solution

The fourth proportional to 180,225.56, 248,701.22 and 99,648.24 is: 137,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,225.56 : 248,701.22 = 99,648.24 : x
  2. Step 2: Convert to fraction form
    180,225.56/248,701.22 = 99,648.24/x
  3. Step 3: Cross multiply
    180,225.56x = 248,701.22 × 99,648.24
  4. Step 4: Simplify right side
    180,225.56x = 24,782,638,858.85
  5. Step 5: Solve for x
    x = 24,782,638,858.85/180,225.56
  6. Step 6: Final answer
    x = 137,509.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.