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Finding the Fourth Proportional to 251,413.92, 377,119.90 and 101,652.42

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Solution

The fourth proportional to 251,413.92, 377,119.90 and 101,652.42 is: 152,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,413.92 : 377,119.90 = 101,652.42 : x
  2. Step 2: Convert to fraction form
    251,413.92/377,119.90 = 101,652.42/x
  3. Step 3: Cross multiply
    251,413.92x = 377,119.90 × 101,652.42
  4. Step 4: Simplify right side
    251,413.92x = 38,335,150,465.16
  5. Step 5: Solve for x
    x = 38,335,150,465.16/251,413.92
  6. Step 6: Final answer
    x = 152,478.23

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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.