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Finding the Fourth Proportional to 201,239.80, 302,054.10 and 122,507.80

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Solution

The fourth proportional to 201,239.80, 302,054.10 and 122,507.80 is: 183,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,239.80 : 302,054.10 = 122,507.80 : x
  2. Step 2: Convert to fraction form
    201,239.80/302,054.10 = 122,507.80/x
  3. Step 3: Cross multiply
    201,239.80x = 302,054.10 × 122,507.80
  4. Step 4: Simplify right side
    201,239.80x = 37,003,983,271.98
  5. Step 5: Solve for x
    x = 37,003,983,271.98/201,239.80
  6. Step 6: Final answer
    x = 183,880.04

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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.