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Finding the Fourth Proportional to 189,681.80, 261,757.81 and 103,638.94

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Solution

The fourth proportional to 189,681.80, 261,757.81 and 103,638.94 is: 143,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,681.80 : 261,757.81 = 103,638.94 : x
  2. Step 2: Convert to fraction form
    189,681.80/261,757.81 = 103,638.94/x
  3. Step 3: Cross multiply
    189,681.80x = 261,757.81 × 103,638.94
  4. Step 4: Simplify right side
    189,681.80x = 27,128,301,965.12
  5. Step 5: Solve for x
    x = 27,128,301,965.12/189,681.80
  6. Step 6: Final answer
    x = 143,020.06

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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.