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Finding the Fourth Proportional to 152,038.59, 209,846.56 and 88,413.09

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Solution

The fourth proportional to 152,038.59, 209,846.56 and 88,413.09 is: 122,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,038.59 : 209,846.56 = 88,413.09 : x
  2. Step 2: Convert to fraction form
    152,038.59/209,846.56 = 88,413.09/x
  3. Step 3: Cross multiply
    152,038.59x = 209,846.56 × 88,413.09
  4. Step 4: Simplify right side
    152,038.59x = 18,553,183,389.33
  5. Step 5: Solve for x
    x = 18,553,183,389.33/152,038.59
  6. Step 6: Final answer
    x = 122,029.44

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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.