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Finding the Fourth Proportional to 229,724.48, 344,586.72 and 104,978

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Solution

The fourth proportional to 229,724.48, 344,586.72 and 104,978 is: 157,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,724.48 : 344,586.72 = 104,978 : x
  2. Step 2: Convert to fraction form
    229,724.48/344,586.72 = 104,978/x
  3. Step 3: Cross multiply
    229,724.48x = 344,586.72 × 104,978
  4. Step 4: Simplify right side
    229,724.48x = 36,174,024,692.16
  5. Step 5: Solve for x
    x = 36,174,024,692.16/229,724.48
  6. Step 6: Final answer
    x = 157,467.00

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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.