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Finding the Fourth Proportional to 162,662.94, 224,448.08 and 102,190.78

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Solution

The fourth proportional to 162,662.94, 224,448.08 and 102,190.78 is: 141,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,662.94 : 224,448.08 = 102,190.78 : x
  2. Step 2: Convert to fraction form
    162,662.94/224,448.08 = 102,190.78/x
  3. Step 3: Cross multiply
    162,662.94x = 224,448.08 × 102,190.78
  4. Step 4: Simplify right side
    162,662.94x = 22,936,524,364.70
  5. Step 5: Solve for x
    x = 22,936,524,364.70/162,662.94
  6. Step 6: Final answer
    x = 141,006.45

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1.5x scale

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.