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Finding the Fourth Proportional to 259,898.40, 389,653.20 and 141,703.20

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Solution

The fourth proportional to 259,898.40, 389,653.20 and 141,703.20 is: 212,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,898.40 : 389,653.20 = 141,703.20 : x
  2. Step 2: Convert to fraction form
    259,898.40/389,653.20 = 141,703.20/x
  3. Step 3: Cross multiply
    259,898.40x = 389,653.20 × 141,703.20
  4. Step 4: Simplify right side
    259,898.40x = 55,215,105,330.24
  5. Step 5: Solve for x
    x = 55,215,105,330.24/259,898.40
  6. Step 6: Final answer
    x = 212,448.81

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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.