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Finding the Fourth Proportional to 190,148.56, 262,435.56 and 144,754

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Solution

The fourth proportional to 190,148.56, 262,435.56 and 144,754 is: 199,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,148.56 : 262,435.56 = 144,754 : x
  2. Step 2: Convert to fraction form
    190,148.56/262,435.56 = 144,754/x
  3. Step 3: Cross multiply
    190,148.56x = 262,435.56 × 144,754
  4. Step 4: Simplify right side
    190,148.56x = 37,988,597,052.24
  5. Step 5: Solve for x
    x = 37,988,597,052.24/190,148.56
  6. Step 6: Final answer
    x = 199,783.77

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Why These Related Problems?

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