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Finding the Fourth Proportional to 282,053.34, 422,682.23 and 155,750.45

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Solution

The fourth proportional to 282,053.34, 422,682.23 and 155,750.45 is: 233,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,053.34 : 422,682.23 = 155,750.45 : x
  2. Step 2: Convert to fraction form
    282,053.34/422,682.23 = 155,750.45/x
  3. Step 3: Cross multiply
    282,053.34x = 422,682.23 × 155,750.45
  4. Step 4: Simplify right side
    282,053.34x = 65,832,945,805.47
  5. Step 5: Solve for x
    x = 65,832,945,805.47/282,053.34
  6. Step 6: Final answer
    x = 233,406.01

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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.