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Finding the Fourth Proportional to 286,268.94, 429,403.44 and 108,733.98

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Solution

The fourth proportional to 286,268.94, 429,403.44 and 108,733.98 is: 163,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,268.94 : 429,403.44 = 108,733.98 : x
  2. Step 2: Convert to fraction form
    286,268.94/429,403.44 = 108,733.98/x
  3. Step 3: Cross multiply
    286,268.94x = 429,403.44 × 108,733.98
  4. Step 4: Simplify right side
    286,268.94x = 46,690,745,056.89
  5. Step 5: Solve for x
    x = 46,690,745,056.89/286,268.94
  6. Step 6: Final answer
    x = 163,100.98

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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.