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Finding the Fourth Proportional to 224,477.64, 309,780.95 and 122,503.91

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Solution

The fourth proportional to 224,477.64, 309,780.95 and 122,503.91 is: 169,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,477.64 : 309,780.95 = 122,503.91 : x
  2. Step 2: Convert to fraction form
    224,477.64/309,780.95 = 122,503.91/x
  3. Step 3: Cross multiply
    224,477.64x = 309,780.95 × 122,503.91
  4. Step 4: Simplify right side
    224,477.64x = 37,949,375,457.09
  5. Step 5: Solve for x
    x = 37,949,375,457.09/224,477.64
  6. Step 6: Final answer
    x = 169,056.37

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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.