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Finding the Fourth Proportional to 180,212.18, 248,682.76 and 99,635

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Solution

The fourth proportional to 180,212.18, 248,682.76 and 99,635 is: 137,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,212.18 : 248,682.76 = 99,635 : x
  2. Step 2: Convert to fraction form
    180,212.18/248,682.76 = 99,635/x
  3. Step 3: Cross multiply
    180,212.18x = 248,682.76 × 99,635
  4. Step 4: Simplify right side
    180,212.18x = 24,777,506,792.60
  5. Step 5: Solve for x
    x = 24,777,506,792.60/180,212.18
  6. Step 6: Final answer
    x = 137,490.74

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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.