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Finding the Fourth Proportional to 162,965.40, 224,892.50 and 91,346.01

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Solution

The fourth proportional to 162,965.40, 224,892.50 and 91,346.01 is: 126,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,965.40 : 224,892.50 = 91,346.01 : x
  2. Step 2: Convert to fraction form
    162,965.40/224,892.50 = 91,346.01/x
  3. Step 3: Cross multiply
    162,965.40x = 224,892.50 × 91,346.01
  4. Step 4: Simplify right side
    162,965.40x = 20,543,032,097.20
  5. Step 5: Solve for x
    x = 20,543,032,097.20/162,965.40
  6. Step 6: Final answer
    x = 126,057.63

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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.