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Finding the Fourth Proportional to 229,722.48, 344,583.72 and 104,976

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Solution

The fourth proportional to 229,722.48, 344,583.72 and 104,976 is: 157,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,722.48 : 344,583.72 = 104,976 : x
  2. Step 2: Convert to fraction form
    229,722.48/344,583.72 = 104,976/x
  3. Step 3: Cross multiply
    229,722.48x = 344,583.72 × 104,976
  4. Step 4: Simplify right side
    229,722.48x = 36,173,020,590.72
  5. Step 5: Solve for x
    x = 36,173,020,590.72/229,722.48
  6. Step 6: Final answer
    x = 157,464.00

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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.