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Finding the Fourth Proportional to 245,468, 368,206.48 and 76,984.56

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Solution

The fourth proportional to 245,468, 368,206.48 and 76,984.56 is: 115,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,468 : 368,206.48 = 76,984.56 : x
  2. Step 2: Convert to fraction form
    245,468/368,206.48 = 76,984.56/x
  3. Step 3: Cross multiply
    245,468x = 368,206.48 × 76,984.56
  4. Step 4: Simplify right side
    245,468x = 28,346,213,851.95
  5. Step 5: Solve for x
    x = 28,346,213,851.95/245,468
  6. Step 6: Final answer
    x = 115,478.25

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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.