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Finding the Fourth Proportional to 101,413.60, 152,213.40 and 51,528.40

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Solution

The fourth proportional to 101,413.60, 152,213.40 and 51,528.40 is: 77,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.60 : 152,213.40 = 51,528.40 : x
  2. Step 2: Convert to fraction form
    101,413.60/152,213.40 = 51,528.40/x
  3. Step 3: Cross multiply
    101,413.60x = 152,213.40 × 51,528.40
  4. Step 4: Simplify right side
    101,413.60x = 7,843,312,960.56
  5. Step 5: Solve for x
    x = 7,843,312,960.56/101,413.60
  6. Step 6: Final answer
    x = 77,339.85

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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.