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Finding the Fourth Proportional to 213,292.60, 319,741.14 and 80,261.02

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Solution

The fourth proportional to 213,292.60, 319,741.14 and 80,261.02 is: 120,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,292.60 : 319,741.14 = 80,261.02 : x
  2. Step 2: Convert to fraction form
    213,292.60/319,741.14 = 80,261.02/x
  3. Step 3: Cross multiply
    213,292.60x = 319,741.14 × 80,261.02
  4. Step 4: Simplify right side
    213,292.60x = 25,662,750,032.36
  5. Step 5: Solve for x
    x = 25,662,750,032.36/213,292.60
  6. Step 6: Final answer
    x = 120,317.11

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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.