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Finding the Fourth Proportional to 201,846.90, 302,697.45 and 101,973.90

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Solution

The fourth proportional to 201,846.90, 302,697.45 and 101,973.90 is: 152,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,846.90 : 302,697.45 = 101,973.90 : x
  2. Step 2: Convert to fraction form
    201,846.90/302,697.45 = 101,973.90/x
  3. Step 3: Cross multiply
    201,846.90x = 302,697.45 × 101,973.90
  4. Step 4: Simplify right side
    201,846.90x = 30,867,239,496.56
  5. Step 5: Solve for x
    x = 30,867,239,496.56/201,846.90
  6. Step 6: Final answer
    x = 152,924.02

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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.