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Finding the Fourth Proportional to 123,306.06, 185,017.59 and 85,413.60

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Solution

The fourth proportional to 123,306.06, 185,017.59 and 85,413.60 is: 128,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,306.06 : 185,017.59 = 85,413.60 : x
  2. Step 2: Convert to fraction form
    123,306.06/185,017.59 = 85,413.60/x
  3. Step 3: Cross multiply
    123,306.06x = 185,017.59 × 85,413.60
  4. Step 4: Simplify right side
    123,306.06x = 15,803,018,425.22
  5. Step 5: Solve for x
    x = 15,803,018,425.22/123,306.06
  6. Step 6: Final answer
    x = 128,160.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.