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Finding the Fourth Proportional to 101,413.10, 152,212.65 and 51,527.90

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Solution

The fourth proportional to 101,413.10, 152,212.65 and 51,527.90 is: 77,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.10 : 152,212.65 = 51,527.90 : x
  2. Step 2: Convert to fraction form
    101,413.10/152,212.65 = 51,527.90/x
  3. Step 3: Cross multiply
    101,413.10x = 152,212.65 × 51,527.90
  4. Step 4: Simplify right side
    101,413.10x = 7,843,198,207.94
  5. Step 5: Solve for x
    x = 7,843,198,207.94/101,413.10
  6. Step 6: Final answer
    x = 77,339.10

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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.