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Finding the Fourth Proportional to 176,805.50, 265,280.62 and 76,914.14

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Solution

The fourth proportional to 176,805.50, 265,280.62 and 76,914.14 is: 115,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,805.50 : 265,280.62 = 76,914.14 : x
  2. Step 2: Convert to fraction form
    176,805.50/265,280.62 = 76,914.14/x
  3. Step 3: Cross multiply
    176,805.50x = 265,280.62 × 76,914.14
  4. Step 4: Simplify right side
    176,805.50x = 20,403,830,745.97
  5. Step 5: Solve for x
    x = 20,403,830,745.97/176,805.50
  6. Step 6: Final answer
    x = 115,402.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.