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Finding the Fourth Proportional to 110,815.64, 152,905.32 and 65,501

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Solution

The fourth proportional to 110,815.64, 152,905.32 and 65,501 is: 90,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,815.64 : 152,905.32 = 65,501 : x
  2. Step 2: Convert to fraction form
    110,815.64/152,905.32 = 65,501/x
  3. Step 3: Cross multiply
    110,815.64x = 152,905.32 × 65,501
  4. Step 4: Simplify right side
    110,815.64x = 10,015,451,365.32
  5. Step 5: Solve for x
    x = 10,015,451,365.32/110,815.64
  6. Step 6: Final answer
    x = 90,379.40

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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.