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Finding the Fourth Proportional to 338,875.80, 508,149.54 and 102,174.36

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Solution

The fourth proportional to 338,875.80, 508,149.54 and 102,174.36 is: 153,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,875.80 : 508,149.54 = 102,174.36 : x
  2. Step 2: Convert to fraction form
    338,875.80/508,149.54 = 102,174.36/x
  3. Step 3: Cross multiply
    338,875.80x = 508,149.54 × 102,174.36
  4. Step 4: Simplify right side
    338,875.80x = 51,919,854,033.79
  5. Step 5: Solve for x
    x = 51,919,854,033.79/338,875.80
  6. Step 6: Final answer
    x = 153,212.04

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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.