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Finding the Fourth Proportional to 253,833.67, 380,798.57 and 102,042.51

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Solution

The fourth proportional to 253,833.67, 380,798.57 and 102,042.51 is: 153,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,833.67 : 380,798.57 = 102,042.51 : x
  2. Step 2: Convert to fraction form
    253,833.67/380,798.57 = 102,042.51/x
  3. Step 3: Cross multiply
    253,833.67x = 380,798.57 × 102,042.51
  4. Step 4: Simplify right side
    253,833.67x = 38,857,641,887.21
  5. Step 5: Solve for x
    x = 38,857,641,887.21/253,833.67
  6. Step 6: Final answer
    x = 153,083.09

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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.