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Finding the Fourth Proportional to 456,766.76, 685,150.14 and 141,216.68

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Solution

The fourth proportional to 456,766.76, 685,150.14 and 141,216.68 is: 211,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,766.76 : 685,150.14 = 141,216.68 : x
  2. Step 2: Convert to fraction form
    456,766.76/685,150.14 = 141,216.68/x
  3. Step 3: Cross multiply
    456,766.76x = 685,150.14 × 141,216.68
  4. Step 4: Simplify right side
    456,766.76x = 96,754,628,072.34
  5. Step 5: Solve for x
    x = 96,754,628,072.34/456,766.76
  6. Step 6: Final answer
    x = 211,825.02

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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.