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Finding the Fourth Proportional to 286,049.31, 429,094.49 and 75,684.75

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Solution

The fourth proportional to 286,049.31, 429,094.49 and 75,684.75 is: 113,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,049.31 : 429,094.49 = 75,684.75 : x
  2. Step 2: Convert to fraction form
    286,049.31/429,094.49 = 75,684.75/x
  3. Step 3: Cross multiply
    286,049.31x = 429,094.49 × 75,684.75
  4. Step 4: Simplify right side
    286,049.31x = 32,475,908,823.60
  5. Step 5: Solve for x
    x = 32,475,908,823.60/286,049.31
  6. Step 6: Final answer
    x = 113,532.55

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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.