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Finding the Fourth Proportional to 110,413.44, 152,405.28 and 65,088.96

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Solution

The fourth proportional to 110,413.44, 152,405.28 and 65,088.96 is: 89,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413.44 : 152,405.28 = 65,088.96 : x
  2. Step 2: Convert to fraction form
    110,413.44/152,405.28 = 65,088.96/x
  3. Step 3: Cross multiply
    110,413.44x = 152,405.28 × 65,088.96
  4. Step 4: Simplify right side
    110,413.44x = 9,919,901,173.71
  5. Step 5: Solve for x
    x = 9,919,901,173.71/110,413.44
  6. Step 6: Final answer
    x = 89,843.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.