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Finding the Fourth Proportional to 224,851.78, 310,440.13 and 144,314.02

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Solution

The fourth proportional to 224,851.78, 310,440.13 and 144,314.02 is: 199,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,851.78 : 310,440.13 = 144,314.02 : x
  2. Step 2: Convert to fraction form
    224,851.78/310,440.13 = 144,314.02/x
  3. Step 3: Cross multiply
    224,851.78x = 310,440.13 × 144,314.02
  4. Step 4: Simplify right side
    224,851.78x = 44,800,863,129.62
  5. Step 5: Solve for x
    x = 44,800,863,129.62/224,851.78
  6. Step 6: Final answer
    x = 199,246.20

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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.