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Finding the Fourth Proportional to 261,169.50, 360,413.91 and 155,185.50

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Solution

The fourth proportional to 261,169.50, 360,413.91 and 155,185.50 is: 214,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,169.50 : 360,413.91 = 155,185.50 : x
  2. Step 2: Convert to fraction form
    261,169.50/360,413.91 = 155,185.50/x
  3. Step 3: Cross multiply
    261,169.50x = 360,413.91 × 155,185.50
  4. Step 4: Simplify right side
    261,169.50x = 55,931,012,830.31
  5. Step 5: Solve for x
    x = 55,931,012,830.31/261,169.50
  6. Step 6: Final answer
    x = 214,155.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.