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Finding the Fourth Proportional to 224,242.68, 309,457.31 and 122,267.28

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Solution

The fourth proportional to 224,242.68, 309,457.31 and 122,267.28 is: 168,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242.68 : 309,457.31 = 122,267.28 : x
  2. Step 2: Convert to fraction form
    224,242.68/309,457.31 = 122,267.28/x
  3. Step 3: Cross multiply
    224,242.68x = 309,457.31 × 122,267.28
  4. Step 4: Simplify right side
    224,242.68x = 37,836,502,958.48
  5. Step 5: Solve for x
    x = 37,836,502,958.48/224,242.68
  6. Step 6: Final answer
    x = 168,730.16

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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.