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Finding the Fourth Proportional to 189,804.52, 261,920.01 and 104,916.52

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Solution

The fourth proportional to 189,804.52, 261,920.01 and 104,916.52 is: 144,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,804.52 : 261,920.01 = 104,916.52 : x
  2. Step 2: Convert to fraction form
    189,804.52/261,920.01 = 104,916.52/x
  3. Step 3: Cross multiply
    189,804.52x = 261,920.01 × 104,916.52
  4. Step 4: Simplify right side
    189,804.52x = 27,479,735,967.57
  5. Step 5: Solve for x
    x = 27,479,735,967.57/189,804.52
  6. Step 6: Final answer
    x = 144,779.14

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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.