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Finding the Fourth Proportional to 144,255.68, 216,383.52 and 45,752

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Solution

The fourth proportional to 144,255.68, 216,383.52 and 45,752 is: 68,628

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,255.68 : 216,383.52 = 45,752 : x
  2. Step 2: Convert to fraction form
    144,255.68/216,383.52 = 45,752/x
  3. Step 3: Cross multiply
    144,255.68x = 216,383.52 × 45,752
  4. Step 4: Simplify right side
    144,255.68x = 9,899,978,807.04
  5. Step 5: Solve for x
    x = 9,899,978,807.04/144,255.68
  6. Step 6: Final answer
    x = 68,628

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.