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Finding the Fourth Proportional to 282,373.47, 389,710.49 and 161,497.98

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Solution

The fourth proportional to 282,373.47, 389,710.49 and 161,497.98 is: 222,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,373.47 : 389,710.49 = 161,497.98 : x
  2. Step 2: Convert to fraction form
    282,373.47/389,710.49 = 161,497.98/x
  3. Step 3: Cross multiply
    282,373.47x = 389,710.49 × 161,497.98
  4. Step 4: Simplify right side
    282,373.47x = 62,937,455,375.00
  5. Step 5: Solve for x
    x = 62,937,455,375.00/282,373.47
  6. Step 6: Final answer
    x = 222,887.29

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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.