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Finding the Fourth Proportional to 224,851.48, 310,299.53 and 122,883.28

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Solution

The fourth proportional to 224,851.48, 310,299.53 and 122,883.28 is: 169,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,851.48 : 310,299.53 = 122,883.28 : x
  2. Step 2: Convert to fraction form
    224,851.48/310,299.53 = 122,883.28/x
  3. Step 3: Cross multiply
    224,851.48x = 310,299.53 × 122,883.28
  4. Step 4: Simplify right side
    224,851.48x = 38,130,622,638.69
  5. Step 5: Solve for x
    x = 38,130,622,638.69/224,851.48
  6. Step 6: Final answer
    x = 169,581.37

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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.