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Finding the Fourth Proportional to 174,156.84, 240,362.70 and 106,213.24

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Solution

The fourth proportional to 174,156.84, 240,362.70 and 106,213.24 is: 146,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,156.84 : 240,362.70 = 106,213.24 : x
  2. Step 2: Convert to fraction form
    174,156.84/240,362.70 = 106,213.24/x
  3. Step 3: Cross multiply
    174,156.84x = 240,362.70 × 106,213.24
  4. Step 4: Simplify right side
    174,156.84x = 25,529,701,142.15
  5. Step 5: Solve for x
    x = 25,529,701,142.15/174,156.84
  6. Step 6: Final answer
    x = 146,590.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.