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Finding the Fourth Proportional to 259,712.85, 358,402.37 and 144,984.81

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Solution

The fourth proportional to 259,712.85, 358,402.37 and 144,984.81 is: 200,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,712.85 : 358,402.37 = 144,984.81 : x
  2. Step 2: Convert to fraction form
    259,712.85/358,402.37 = 144,984.81/x
  3. Step 3: Cross multiply
    259,712.85x = 358,402.37 × 144,984.81
  4. Step 4: Simplify right side
    259,712.85x = 51,962,898,793.08
  5. Step 5: Solve for x
    x = 51,962,898,793.08/259,712.85
  6. Step 6: Final answer
    x = 200,078.27

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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.