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Finding the Fourth Proportional to 180,154.96, 248,448.52 and 108,410.48

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Solution

The fourth proportional to 180,154.96, 248,448.52 and 108,410.48 is: 149,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,154.96 : 248,448.52 = 108,410.48 : x
  2. Step 2: Convert to fraction form
    180,154.96/248,448.52 = 108,410.48/x
  3. Step 3: Cross multiply
    180,154.96x = 248,448.52 × 108,410.48
  4. Step 4: Simplify right side
    180,154.96x = 26,934,423,308.49
  5. Step 5: Solve for x
    x = 26,934,423,308.49/180,154.96
  6. Step 6: Final answer
    x = 149,506.98

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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.