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Finding the Fourth Proportional to 210,413.61, 290,366.29 and 114,920.69

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Solution

The fourth proportional to 210,413.61, 290,366.29 and 114,920.69 is: 158,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,413.61 : 290,366.29 = 114,920.69 : x
  2. Step 2: Convert to fraction form
    210,413.61/290,366.29 = 114,920.69/x
  3. Step 3: Cross multiply
    210,413.61x = 290,366.29 × 114,920.69
  4. Step 4: Simplify right side
    210,413.61x = 33,369,094,399.54
  5. Step 5: Solve for x
    x = 33,369,094,399.54/210,413.61
  6. Step 6: Final answer
    x = 158,588.10

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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.