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Finding the Fourth Proportional to 259,893.56, 358,656.11 and 152,465.42

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Solution

The fourth proportional to 259,893.56, 358,656.11 and 152,465.42 is: 210,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,893.56 : 358,656.11 = 152,465.42 : x
  2. Step 2: Convert to fraction form
    259,893.56/358,656.11 = 152,465.42/x
  3. Step 3: Cross multiply
    259,893.56x = 358,656.11 × 152,465.42
  4. Step 4: Simplify right side
    259,893.56x = 54,682,651,891.11
  5. Step 5: Solve for x
    x = 54,682,651,891.11/259,893.56
  6. Step 6: Final answer
    x = 210,404.03

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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.