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Finding the Fourth Proportional to 286,741.67, 429,843.83 and 97,069.37

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Solution

The fourth proportional to 286,741.67, 429,843.83 and 97,069.37 is: 145,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,741.67 : 429,843.83 = 97,069.37 : x
  2. Step 2: Convert to fraction form
    286,741.67/429,843.83 = 97,069.37/x
  3. Step 3: Cross multiply
    286,741.67x = 429,843.83 × 97,069.37
  4. Step 4: Simplify right side
    286,741.67x = 41,724,667,141.92
  5. Step 5: Solve for x
    x = 41,724,667,141.92/286,741.67
  6. Step 6: Final answer
    x = 145,513.10

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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.