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Finding the Fourth Proportional to 189,465.42, 261,464.42 and 104,582.46

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Solution

The fourth proportional to 189,465.42, 261,464.42 and 104,582.46 is: 144,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,465.42 : 261,464.42 = 104,582.46 : x
  2. Step 2: Convert to fraction form
    189,465.42/261,464.42 = 104,582.46/x
  3. Step 3: Cross multiply
    189,465.42x = 261,464.42 × 104,582.46
  4. Step 4: Simplify right side
    189,465.42x = 27,344,592,246.07
  5. Step 5: Solve for x
    x = 27,344,592,246.07/189,465.42
  6. Step 6: Final answer
    x = 144,324.98

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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.