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Finding the Fourth Proportional to 102,413.57, 153,514.80 and 39,216.43

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Solution

The fourth proportional to 102,413.57, 153,514.80 and 39,216.43 is: 58,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,413.57 : 153,514.80 = 39,216.43 : x
  2. Step 2: Convert to fraction form
    102,413.57/153,514.80 = 39,216.43/x
  3. Step 3: Cross multiply
    102,413.57x = 153,514.80 × 39,216.43
  4. Step 4: Simplify right side
    102,413.57x = 6,020,302,408.16
  5. Step 5: Solve for x
    x = 6,020,302,408.16/102,413.57
  6. Step 6: Final answer
    x = 58,784.23

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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.