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Finding the Fourth Proportional to 259,897.68, 358,661.79 and 152,469.54

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Solution

The fourth proportional to 259,897.68, 358,661.79 and 152,469.54 is: 210,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,897.68 : 358,661.79 = 152,469.54 : x
  2. Step 2: Convert to fraction form
    259,897.68/358,661.79 = 152,469.54/x
  3. Step 3: Cross multiply
    259,897.68x = 358,661.79 × 152,469.54
  4. Step 4: Simplify right side
    259,897.68x = 54,684,998,136.88
  5. Step 5: Solve for x
    x = 54,684,998,136.88/259,897.68
  6. Step 6: Final answer
    x = 210,409.72

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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.