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Finding the Fourth Proportional to 176,744.40, 265,019.40 and 76,887.60

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Solution

The fourth proportional to 176,744.40, 265,019.40 and 76,887.60 is: 115,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,744.40 : 265,019.40 = 76,887.60 : x
  2. Step 2: Convert to fraction form
    176,744.40/265,019.40 = 76,887.60/x
  3. Step 3: Cross multiply
    176,744.40x = 265,019.40 × 76,887.60
  4. Step 4: Simplify right side
    176,744.40x = 20,376,705,619.44
  5. Step 5: Solve for x
    x = 20,376,705,619.44/176,744.40
  6. Step 6: Final answer
    x = 115,289.12

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Why These Related Problems?

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