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Finding the Fourth Proportional to 224,918.67, 310,264.92 and 144,256.44

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Solution

The fourth proportional to 224,918.67, 310,264.92 and 144,256.44 is: 198,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,918.67 : 310,264.92 = 144,256.44 : x
  2. Step 2: Convert to fraction form
    224,918.67/310,264.92 = 144,256.44/x
  3. Step 3: Cross multiply
    224,918.67x = 310,264.92 × 144,256.44
  4. Step 4: Simplify right side
    224,918.67x = 44,757,712,816.08
  5. Step 5: Solve for x
    x = 44,757,712,816.08/224,918.67
  6. Step 6: Final answer
    x = 198,995.10

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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.