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Finding the Fourth Proportional to 144,625, 216,941.34 and 46,129

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Solution

The fourth proportional to 144,625, 216,941.34 and 46,129 is: 69,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,625 : 216,941.34 = 46,129 : x
  2. Step 2: Convert to fraction form
    144,625/216,941.34 = 46,129/x
  3. Step 3: Cross multiply
    144,625x = 216,941.34 × 46,129
  4. Step 4: Simplify right side
    144,625x = 10,007,287,072.86
  5. Step 5: Solve for x
    x = 10,007,287,072.86/144,625
  6. Step 6: Final answer
    x = 69,194.72

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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.