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Finding the Fourth Proportional to 149,097.60, 223,581.60 and 49,219.20

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Solution

The fourth proportional to 149,097.60, 223,581.60 and 49,219.20 is: 73,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,097.60 : 223,581.60 = 49,219.20 : x
  2. Step 2: Convert to fraction form
    149,097.60/223,581.60 = 49,219.20/x
  3. Step 3: Cross multiply
    149,097.60x = 223,581.60 × 49,219.20
  4. Step 4: Simplify right side
    149,097.60x = 11,004,507,486.72
  5. Step 5: Solve for x
    x = 11,004,507,486.72/149,097.60
  6. Step 6: Final answer
    x = 73,807.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.