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Finding the Fourth Proportional to 224,521.67, 309,839.91 and 153,026.60

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Solution

The fourth proportional to 224,521.67, 309,839.91 and 153,026.60 is: 211,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,521.67 : 309,839.91 = 153,026.60 : x
  2. Step 2: Convert to fraction form
    224,521.67/309,839.91 = 153,026.60/x
  3. Step 3: Cross multiply
    224,521.67x = 309,839.91 × 153,026.60
  4. Step 4: Simplify right side
    224,521.67x = 47,413,746,422.41
  5. Step 5: Solve for x
    x = 47,413,746,422.41/224,521.67
  6. Step 6: Final answer
    x = 211,176.70

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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.