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Finding the Fourth Proportional to 137,413.96, 189,636.71 and 76,985.10

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Solution

The fourth proportional to 137,413.96, 189,636.71 and 76,985.10 is: 106,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.96 : 189,636.71 = 76,985.10 : x
  2. Step 2: Convert to fraction form
    137,413.96/189,636.71 = 76,985.10/x
  3. Step 3: Cross multiply
    137,413.96x = 189,636.71 × 76,985.10
  4. Step 4: Simplify right side
    137,413.96x = 14,599,200,698.10
  5. Step 5: Solve for x
    x = 14,599,200,698.10/137,413.96
  6. Step 6: Final answer
    x = 106,242.49

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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.