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Finding the Fourth Proportional to 282,505.91, 423,758.84 and 105,057.59

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Solution

The fourth proportional to 282,505.91, 423,758.84 and 105,057.59 is: 157,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,505.91 : 423,758.84 = 105,057.59 : x
  2. Step 2: Convert to fraction form
    282,505.91/423,758.84 = 105,057.59/x
  3. Step 3: Cross multiply
    282,505.91x = 423,758.84 × 105,057.59
  4. Step 4: Simplify right side
    282,505.91x = 44,519,079,827.51
  5. Step 5: Solve for x
    x = 44,519,079,827.51/282,505.91
  6. Step 6: Final answer
    x = 157,586.37

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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.