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Finding the Fourth Proportional to 189,465.05, 261,461.72 and 104,582.09

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Solution

The fourth proportional to 189,465.05, 261,461.72 and 104,582.09 is: 144,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,465.05 : 261,461.72 = 104,582.09 : x
  2. Step 2: Convert to fraction form
    189,465.05/261,461.72 = 104,582.09/x
  3. Step 3: Cross multiply
    189,465.05x = 261,461.72 × 104,582.09
  4. Step 4: Simplify right side
    189,465.05x = 27,344,211,302.38
  5. Step 5: Solve for x
    x = 27,344,211,302.38/189,465.05
  6. Step 6: Final answer
    x = 144,323.25

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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.