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Finding the Fourth Proportional to 224,083.33, 309,208.91 and 136,824.53

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Solution

The fourth proportional to 224,083.33, 309,208.91 and 136,824.53 is: 188,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,083.33 : 309,208.91 = 136,824.53 : x
  2. Step 2: Convert to fraction form
    224,083.33/309,208.91 = 136,824.53/x
  3. Step 3: Cross multiply
    224,083.33x = 309,208.91 × 136,824.53
  4. Step 4: Simplify right side
    224,083.33x = 42,307,364,897.65
  5. Step 5: Solve for x
    x = 42,307,364,897.65/224,083.33
  6. Step 6: Final answer
    x = 188,801.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.