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Finding the Fourth Proportional to 153,210.06, 211,413.74 and 85,215.96

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Solution

The fourth proportional to 153,210.06, 211,413.74 and 85,215.96 is: 117,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,210.06 : 211,413.74 = 85,215.96 : x
  2. Step 2: Convert to fraction form
    153,210.06/211,413.74 = 85,215.96/x
  3. Step 3: Cross multiply
    153,210.06x = 211,413.74 × 85,215.96
  4. Step 4: Simplify right side
    153,210.06x = 18,015,824,811.29
  5. Step 5: Solve for x
    x = 18,015,824,811.29/153,210.06
  6. Step 6: Final answer
    x = 117,589.05

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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.