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Finding the Fourth Proportional to 190,167.65, 262,448.96 and 105,284.71

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Solution

The fourth proportional to 190,167.65, 262,448.96 and 105,284.71 is: 145,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,167.65 : 262,448.96 = 105,284.71 : x
  2. Step 2: Convert to fraction form
    190,167.65/262,448.96 = 105,284.71/x
  3. Step 3: Cross multiply
    190,167.65x = 262,448.96 × 105,284.71
  4. Step 4: Simplify right side
    190,167.65x = 27,631,863,037.27
  5. Step 5: Solve for x
    x = 27,631,863,037.27/190,167.65
  6. Step 6: Final answer
    x = 145,302.65

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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.