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Finding the Fourth Proportional to 286,224.84, 429,308.10 and 75,884.04

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Solution

The fourth proportional to 286,224.84, 429,308.10 and 75,884.04 is: 113,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,224.84 : 429,308.10 = 75,884.04 : x
  2. Step 2: Convert to fraction form
    286,224.84/429,308.10 = 75,884.04/x
  3. Step 3: Cross multiply
    286,224.84x = 429,308.10 × 75,884.04
  4. Step 4: Simplify right side
    286,224.84x = 32,577,633,032.72
  5. Step 5: Solve for x
    x = 32,577,633,032.72/286,224.84
  6. Step 6: Final answer
    x = 113,818.33

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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.