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Finding the Fourth Proportional to 282,384, 423,663.48 and 116,172

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Solution

The fourth proportional to 282,384, 423,663.48 and 116,172 is: 174,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,384 : 423,663.48 = 116,172 : x
  2. Step 2: Convert to fraction form
    282,384/423,663.48 = 116,172/x
  3. Step 3: Cross multiply
    282,384x = 423,663.48 × 116,172
  4. Step 4: Simplify right side
    282,384x = 49,217,833,798.56
  5. Step 5: Solve for x
    x = 49,217,833,798.56/282,384
  6. Step 6: Final answer
    x = 174,293.99

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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.