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Finding the Fourth Proportional to 148,971.60, 223,392.60 and 49,093.20

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Solution

The fourth proportional to 148,971.60, 223,392.60 and 49,093.20 is: 73,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,971.60 : 223,392.60 = 49,093.20 : x
  2. Step 2: Convert to fraction form
    148,971.60/223,392.60 = 49,093.20/x
  3. Step 3: Cross multiply
    148,971.60x = 223,392.60 × 49,093.20
  4. Step 4: Simplify right side
    148,971.60x = 10,967,057,590.32
  5. Step 5: Solve for x
    x = 10,967,057,590.32/148,971.60
  6. Step 6: Final answer
    x = 73,618.45

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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.