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Finding the Fourth Proportional to 190,411, 262,767.18 and 105,540.82

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Solution

The fourth proportional to 190,411, 262,767.18 and 105,540.82 is: 145,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,411 : 262,767.18 = 105,540.82 : x
  2. Step 2: Convert to fraction form
    190,411/262,767.18 = 105,540.82/x
  3. Step 3: Cross multiply
    190,411x = 262,767.18 × 105,540.82
  4. Step 4: Simplify right side
    190,411x = 27,732,663,646.29
  5. Step 5: Solve for x
    x = 27,732,663,646.29/190,411
  6. Step 6: Final answer
    x = 145,646.33

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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.