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Finding the Fourth Proportional to 259,595.24, 358,239.32 and 150,709.68

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Solution

The fourth proportional to 259,595.24, 358,239.32 and 150,709.68 is: 207,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,595.24 : 358,239.32 = 150,709.68 : x
  2. Step 2: Convert to fraction form
    259,595.24/358,239.32 = 150,709.68/x
  3. Step 3: Cross multiply
    259,595.24x = 358,239.32 × 150,709.68
  4. Step 4: Simplify right side
    259,595.24x = 53,990,133,280.62
  5. Step 5: Solve for x
    x = 53,990,133,280.62/259,595.24
  6. Step 6: Final answer
    x = 207,978.13

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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.