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Finding the Fourth Proportional to 258,211.36, 387,379.32 and 89,707.24

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Solution

The fourth proportional to 258,211.36, 387,379.32 and 89,707.24 is: 134,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,211.36 : 387,379.32 = 89,707.24 : x
  2. Step 2: Convert to fraction form
    258,211.36/387,379.32 = 89,707.24/x
  3. Step 3: Cross multiply
    258,211.36x = 387,379.32 × 89,707.24
  4. Step 4: Simplify right side
    258,211.36x = 34,750,729,630.28
  5. Step 5: Solve for x
    x = 34,750,729,630.28/258,211.36
  6. Step 6: Final answer
    x = 134,582.50

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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.