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Finding the Fourth Proportional to 110,328.16, 152,207.76 and 76,813.60

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Solution

The fourth proportional to 110,328.16, 152,207.76 and 76,813.60 is: 105,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,328.16 : 152,207.76 = 76,813.60 : x
  2. Step 2: Convert to fraction form
    110,328.16/152,207.76 = 76,813.60/x
  3. Step 3: Cross multiply
    110,328.16x = 152,207.76 × 76,813.60
  4. Step 4: Simplify right side
    110,328.16x = 11,691,625,993.54
  5. Step 5: Solve for x
    x = 11,691,625,993.54/110,328.16
  6. Step 6: Final answer
    x = 105,971.37

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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.