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Finding the Fourth Proportional to 142,076.16, 196,064.14 and 78,413.96

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Solution

The fourth proportional to 142,076.16, 196,064.14 and 78,413.96 is: 108,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,076.16 : 196,064.14 = 78,413.96 : x
  2. Step 2: Convert to fraction form
    142,076.16/196,064.14 = 78,413.96/x
  3. Step 3: Cross multiply
    142,076.16x = 196,064.14 × 78,413.96
  4. Step 4: Simplify right side
    142,076.16x = 15,374,164,259.00
  5. Step 5: Solve for x
    x = 15,374,164,259.00/142,076.16
  6. Step 6: Final answer
    x = 108,210.72

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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.