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Finding the Fourth Proportional to 180,702, 249,372.36 and 105,255.36

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Solution

The fourth proportional to 180,702, 249,372.36 and 105,255.36 is: 145,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,702 : 249,372.36 = 105,255.36 : x
  2. Step 2: Convert to fraction form
    180,702/249,372.36 = 105,255.36/x
  3. Step 3: Cross multiply
    180,702x = 249,372.36 × 105,255.36
  4. Step 4: Simplify right side
    180,702x = 26,247,777,525.85
  5. Step 5: Solve for x
    x = 26,247,777,525.85/180,702
  6. Step 6: Final answer
    x = 145,254.49

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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.