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Finding the Fourth Proportional to 281,715.17, 388,777.52 and 160,857.50

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Solution

The fourth proportional to 281,715.17, 388,777.52 and 160,857.50 is: 221,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,715.17 : 388,777.52 = 160,857.50 : x
  2. Step 2: Convert to fraction form
    281,715.17/388,777.52 = 160,857.50/x
  3. Step 3: Cross multiply
    281,715.17x = 388,777.52 × 160,857.50
  4. Step 4: Simplify right side
    281,715.17x = 62,537,778,381.66
  5. Step 5: Solve for x
    x = 62,537,778,381.66/281,715.17
  6. Step 6: Final answer
    x = 221,989.39

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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.