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Finding the Fourth Proportional to 224,445.96, 309,742.90 and 122,477.02

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Solution

The fourth proportional to 224,445.96, 309,742.90 and 122,477.02 is: 169,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,445.96 : 309,742.90 = 122,477.02 : x
  2. Step 2: Convert to fraction form
    224,445.96/309,742.90 = 122,477.02/x
  3. Step 3: Cross multiply
    224,445.96x = 309,742.90 × 122,477.02
  4. Step 4: Simplify right side
    224,445.96x = 37,936,386,277.61
  5. Step 5: Solve for x
    x = 37,936,386,277.61/224,445.96
  6. Step 6: Final answer
    x = 169,022.36

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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.