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Finding the Fourth Proportional to 189,341.84, 261,290.28 and 104,462.48

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Solution

The fourth proportional to 189,341.84, 261,290.28 and 104,462.48 is: 144,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,341.84 : 261,290.28 = 104,462.48 : x
  2. Step 2: Convert to fraction form
    189,341.84/261,290.28 = 104,462.48/x
  3. Step 3: Cross multiply
    189,341.84x = 261,290.28 × 104,462.48
  4. Step 4: Simplify right side
    189,341.84x = 27,295,030,648.69
  5. Step 5: Solve for x
    x = 27,295,030,648.69/189,341.84
  6. Step 6: Final answer
    x = 144,157.42

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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.