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Finding the Fourth Proportional to 286,043.95, 429,090.93 and 106,131.41

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Solution

The fourth proportional to 286,043.95, 429,090.93 and 106,131.41 is: 159,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,043.95 : 429,090.93 = 106,131.41 : x
  2. Step 2: Convert to fraction form
    286,043.95/429,090.93 = 106,131.41/x
  3. Step 3: Cross multiply
    286,043.95x = 429,090.93 × 106,131.41
  4. Step 4: Simplify right side
    286,043.95x = 45,540,023,273.66
  5. Step 5: Solve for x
    x = 45,540,023,273.66/286,043.95
  6. Step 6: Final answer
    x = 159,206.39

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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.