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Finding the Fourth Proportional to 282,056.88, 422,687.52 and 155,753.98

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Solution

The fourth proportional to 282,056.88, 422,687.52 and 155,753.98 is: 233,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,056.88 : 422,687.52 = 155,753.98 : x
  2. Step 2: Convert to fraction form
    282,056.88/422,687.52 = 155,753.98/x
  3. Step 3: Cross multiply
    282,056.88x = 422,687.52 × 155,753.98
  4. Step 4: Simplify right side
    282,056.88x = 65,835,263,536.33
  5. Step 5: Solve for x
    x = 65,835,263,536.33/282,056.88
  6. Step 6: Final answer
    x = 233,411.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.