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Finding the Fourth Proportional to 281,385.09, 388,348.38 and 160,498.62

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Solution

The fourth proportional to 281,385.09, 388,348.38 and 160,498.62 is: 221,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,385.09 : 388,348.38 = 160,498.62 : x
  2. Step 2: Convert to fraction form
    281,385.09/388,348.38 = 160,498.62/x
  3. Step 3: Cross multiply
    281,385.09x = 388,348.38 × 160,498.62
  4. Step 4: Simplify right side
    281,385.09x = 62,329,379,069.24
  5. Step 5: Solve for x
    x = 62,329,379,069.24/281,385.09
  6. Step 6: Final answer
    x = 221,509.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.