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Finding the Fourth Proportional to 322,092.50, 482,988.69 and 119,547.54

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Solution

The fourth proportional to 322,092.50, 482,988.69 and 119,547.54 is: 179,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,092.50 : 482,988.69 = 119,547.54 : x
  2. Step 2: Convert to fraction form
    322,092.50/482,988.69 = 119,547.54/x
  3. Step 3: Cross multiply
    322,092.50x = 482,988.69 × 119,547.54
  4. Step 4: Simplify right side
    322,092.50x = 57,740,109,737.32
  5. Step 5: Solve for x
    x = 57,740,109,737.32/322,092.50
  6. Step 6: Final answer
    x = 179,265.62

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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.