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Finding the Fourth Proportional to 210,413.92, 290,360.28 and 114,901.96

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Solution

The fourth proportional to 210,413.92, 290,360.28 and 114,901.96 is: 158,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,413.92 : 290,360.28 = 114,901.96 : x
  2. Step 2: Convert to fraction form
    210,413.92/290,360.28 = 114,901.96/x
  3. Step 3: Cross multiply
    210,413.92x = 290,360.28 × 114,901.96
  4. Step 4: Simplify right side
    210,413.92x = 33,362,965,278.15
  5. Step 5: Solve for x
    x = 33,362,965,278.15/210,413.92
  6. Step 6: Final answer
    x = 158,558.74

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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.