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Finding the Fourth Proportional to 258,833.70, 388,019.70 and 101,025.45

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Solution

The fourth proportional to 258,833.70, 388,019.70 and 101,025.45 is: 151,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,833.70 : 388,019.70 = 101,025.45 : x
  2. Step 2: Convert to fraction form
    258,833.70/388,019.70 = 101,025.45/x
  3. Step 3: Cross multiply
    258,833.70x = 388,019.70 × 101,025.45
  4. Step 4: Simplify right side
    258,833.70x = 39,199,864,801.37
  5. Step 5: Solve for x
    x = 39,199,864,801.37/258,833.70
  6. Step 6: Final answer
    x = 151,448.07

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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.