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Finding the Fourth Proportional to 137,066.40, 205,599.60 and 115,415.10

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Solution

The fourth proportional to 137,066.40, 205,599.60 and 115,415.10 is: 173,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,066.40 : 205,599.60 = 115,415.10 : x
  2. Step 2: Convert to fraction form
    137,066.40/205,599.60 = 115,415.10/x
  3. Step 3: Cross multiply
    137,066.40x = 205,599.60 × 115,415.10
  4. Step 4: Simplify right side
    137,066.40x = 23,729,298,393.96
  5. Step 5: Solve for x
    x = 23,729,298,393.96/137,066.40
  6. Step 6: Final answer
    x = 173,122.65

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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.