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Finding the Fourth Proportional to 286,043.94, 429,051.97 and 106,164.38

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Solution

The fourth proportional to 286,043.94, 429,051.97 and 106,164.38 is: 159,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,043.94 : 429,051.97 = 106,164.38 : x
  2. Step 2: Convert to fraction form
    286,043.94/429,051.97 = 106,164.38/x
  3. Step 3: Cross multiply
    286,043.94x = 429,051.97 × 106,164.38
  4. Step 4: Simplify right side
    286,043.94x = 45,550,036,382.83
  5. Step 5: Solve for x
    x = 45,550,036,382.83/286,043.94
  6. Step 6: Final answer
    x = 159,241.40

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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.