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Finding the Fourth Proportional to 351,133.26, 526,699.89 and 164,275.98

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Solution

The fourth proportional to 351,133.26, 526,699.89 and 164,275.98 is: 246,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,133.26 : 526,699.89 = 164,275.98 : x
  2. Step 2: Convert to fraction form
    351,133.26/526,699.89 = 164,275.98/x
  3. Step 3: Cross multiply
    351,133.26x = 526,699.89 × 164,275.98
  4. Step 4: Simplify right side
    351,133.26x = 86,524,140,595.64
  5. Step 5: Solve for x
    x = 86,524,140,595.64/351,133.26
  6. Step 6: Final answer
    x = 246,413.97

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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.