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Finding the Fourth Proportional to 152,413.56, 228,509.57 and 63,692.44

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Solution

The fourth proportional to 152,413.56, 228,509.57 and 63,692.44 is: 95,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,413.56 : 228,509.57 = 63,692.44 : x
  2. Step 2: Convert to fraction form
    152,413.56/228,509.57 = 63,692.44/x
  3. Step 3: Cross multiply
    152,413.56x = 228,509.57 × 63,692.44
  4. Step 4: Simplify right side
    152,413.56x = 14,554,331,664.61
  5. Step 5: Solve for x
    x = 14,554,331,664.61/152,413.56
  6. Step 6: Final answer
    x = 95,492.37

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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.