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Finding the Fourth Proportional to 190,405, 262,758.90 and 105,534.82

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Solution

The fourth proportional to 190,405, 262,758.90 and 105,534.82 is: 145,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,405 : 262,758.90 = 105,534.82 : x
  2. Step 2: Convert to fraction form
    190,405/262,758.90 = 105,534.82/x
  3. Step 3: Cross multiply
    190,405x = 262,758.90 × 105,534.82
  4. Step 4: Simplify right side
    190,405x = 27,730,213,214.90
  5. Step 5: Solve for x
    x = 27,730,213,214.90/190,405
  6. Step 6: Final answer
    x = 145,638.05

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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.