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Finding the Fourth Proportional to 286,154.44, 429,239.86 and 75,792.38

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Solution

The fourth proportional to 286,154.44, 429,239.86 and 75,792.38 is: 113,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,154.44 : 429,239.86 = 75,792.38 : x
  2. Step 2: Convert to fraction form
    286,154.44/429,239.86 = 75,792.38/x
  3. Step 3: Cross multiply
    286,154.44x = 429,239.86 × 75,792.38
  4. Step 4: Simplify right side
    286,154.44x = 32,533,108,244.59
  5. Step 5: Solve for x
    x = 32,533,108,244.59/286,154.44
  6. Step 6: Final answer
    x = 113,690.73

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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.