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Finding the Fourth Proportional to 224,064.22, 309,204.71 and 122,090.53

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Solution

The fourth proportional to 224,064.22, 309,204.71 and 122,090.53 is: 168,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,064.22 : 309,204.71 = 122,090.53 : x
  2. Step 2: Convert to fraction form
    224,064.22/309,204.71 = 122,090.53/x
  3. Step 3: Cross multiply
    224,064.22x = 309,204.71 × 122,090.53
  4. Step 4: Simplify right side
    224,064.22x = 37,750,966,311.94
  5. Step 5: Solve for x
    x = 37,750,966,311.94/224,064.22
  6. Step 6: Final answer
    x = 168,482.80

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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.