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Finding the Fourth Proportional to 224,627.94, 309,984.15 and 122,653.11

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Solution

The fourth proportional to 224,627.94, 309,984.15 and 122,653.11 is: 169,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,627.94 : 309,984.15 = 122,653.11 : x
  2. Step 2: Convert to fraction form
    224,627.94/309,984.15 = 122,653.11/x
  3. Step 3: Cross multiply
    224,627.94x = 309,984.15 × 122,653.11
  4. Step 4: Simplify right side
    224,627.94x = 38,020,520,048.21
  5. Step 5: Solve for x
    x = 38,020,520,048.21/224,627.94
  6. Step 6: Final answer
    x = 169,259.98

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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.