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Finding the Fourth Proportional to 190,558.64, 262,964.58 and 105,681.98

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Solution

The fourth proportional to 190,558.64, 262,964.58 and 105,681.98 is: 145,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,558.64 : 262,964.58 = 105,681.98 : x
  2. Step 2: Convert to fraction form
    190,558.64/262,964.58 = 105,681.98/x
  3. Step 3: Cross multiply
    190,558.64x = 262,964.58 × 105,681.98
  4. Step 4: Simplify right side
    190,558.64x = 27,790,617,484.27
  5. Step 5: Solve for x
    x = 27,790,617,484.27/190,558.64
  6. Step 6: Final answer
    x = 145,837.61

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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.