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Finding the Fourth Proportional to 259,588.16, 389,323.52 and 119,211.84

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Solution

The fourth proportional to 259,588.16, 389,323.52 and 119,211.84 is: 178,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,588.16 : 389,323.52 = 119,211.84 : x
  2. Step 2: Convert to fraction form
    259,588.16/389,323.52 = 119,211.84/x
  3. Step 3: Cross multiply
    259,588.16x = 389,323.52 × 119,211.84
  4. Step 4: Simplify right side
    259,588.16x = 46,411,973,174.48
  5. Step 5: Solve for x
    x = 46,411,973,174.48/259,588.16
  6. Step 6: Final answer
    x = 178,790.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.