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Finding the Fourth Proportional to 265,786.40, 398,756.40 and 78,802.40

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Solution

The fourth proportional to 265,786.40, 398,756.40 and 78,802.40 is: 118,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,786.40 : 398,756.40 = 78,802.40 : x
  2. Step 2: Convert to fraction form
    265,786.40/398,756.40 = 78,802.40/x
  3. Step 3: Cross multiply
    265,786.40x = 398,756.40 × 78,802.40
  4. Step 4: Simplify right side
    265,786.40x = 31,422,961,335.36
  5. Step 5: Solve for x
    x = 31,422,961,335.36/265,786.40
  6. Step 6: Final answer
    x = 118,226.37

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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.