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Finding the Fourth Proportional to 144,640.80, 194,643 and 144,640.80

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Solution

The fourth proportional to 144,640.80, 194,643 and 144,640.80 is: 194,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,640.80 : 194,643 = 144,640.80 : x
  2. Step 2: Convert to fraction form
    144,640.80/194,643 = 144,640.80/x
  3. Step 3: Cross multiply
    144,640.80x = 194,643 × 144,640.80
  4. Step 4: Simplify right side
    144,640.80x = 28,153,319,234.40
  5. Step 5: Solve for x
    x = 28,153,319,234.40/144,640.80
  6. Step 6: Final answer
    x = 194,643

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.