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Finding the Fourth Proportional to 174,155.84, 240,361.32 and 106,212.24

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Solution

The fourth proportional to 174,155.84, 240,361.32 and 106,212.24 is: 146,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,155.84 : 240,361.32 = 106,212.24 : x
  2. Step 2: Convert to fraction form
    174,155.84/240,361.32 = 106,212.24/x
  3. Step 3: Cross multiply
    174,155.84x = 240,361.32 × 106,212.24
  4. Step 4: Simplify right side
    174,155.84x = 25,529,314,206.56
  5. Step 5: Solve for x
    x = 25,529,314,206.56/174,155.84
  6. Step 6: Final answer
    x = 146,588.91

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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.