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Finding the Fourth Proportional to 201,766.04, 302,473.74 and 101,843

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Solution

The fourth proportional to 201,766.04, 302,473.74 and 101,843 is: 152,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,766.04 : 302,473.74 = 101,843 : x
  2. Step 2: Convert to fraction form
    201,766.04/302,473.74 = 101,843/x
  3. Step 3: Cross multiply
    201,766.04x = 302,473.74 × 101,843
  4. Step 4: Simplify right side
    201,766.04x = 30,804,833,102.82
  5. Step 5: Solve for x
    x = 30,804,833,102.82/201,766.04
  6. Step 6: Final answer
    x = 152,676.01

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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.