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Finding the Fourth Proportional to 286,007.64, 429,036.39 and 93,824.44

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Solution

The fourth proportional to 286,007.64, 429,036.39 and 93,824.44 is: 140,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,007.64 : 429,036.39 = 93,824.44 : x
  2. Step 2: Convert to fraction form
    286,007.64/429,036.39 = 93,824.44/x
  3. Step 3: Cross multiply
    286,007.64x = 429,036.39 × 93,824.44
  4. Step 4: Simplify right side
    286,007.64x = 40,254,097,958.78
  5. Step 5: Solve for x
    x = 40,254,097,958.78/286,007.64
  6. Step 6: Final answer
    x = 140,744.84

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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.