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Finding the Fourth Proportional to 189,465.80, 261,462.76 and 104,582.84

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Solution

The fourth proportional to 189,465.80, 261,462.76 and 104,582.84 is: 144,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,465.80 : 261,462.76 = 104,582.84 : x
  2. Step 2: Convert to fraction form
    189,465.80/261,462.76 = 104,582.84/x
  3. Step 3: Cross multiply
    189,465.80x = 261,462.76 × 104,582.84
  4. Step 4: Simplify right side
    189,465.80x = 27,344,516,426.27
  5. Step 5: Solve for x
    x = 27,344,516,426.27/189,465.80
  6. Step 6: Final answer
    x = 144,324.29

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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.