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Finding the Fourth Proportional to 224,646, 310,024.12 and 122,680.94

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Solution

The fourth proportional to 224,646, 310,024.12 and 122,680.94 is: 169,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,646 : 310,024.12 = 122,680.94 : x
  2. Step 2: Convert to fraction form
    224,646/310,024.12 = 122,680.94/x
  3. Step 3: Cross multiply
    224,646x = 310,024.12 × 122,680.94
  4. Step 4: Simplify right side
    224,646x = 38,034,050,464.27
  5. Step 5: Solve for x
    x = 38,034,050,464.27/224,646
  6. Step 6: Final answer
    x = 169,306.60

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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.