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Finding the Fourth Proportional to 201,329.30, 302,188.35 and 122,597.30

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Solution

The fourth proportional to 201,329.30, 302,188.35 and 122,597.30 is: 184,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,329.30 : 302,188.35 = 122,597.30 : x
  2. Step 2: Convert to fraction form
    201,329.30/302,188.35 = 122,597.30/x
  3. Step 3: Cross multiply
    201,329.30x = 302,188.35 × 122,597.30
  4. Step 4: Simplify right side
    201,329.30x = 37,047,475,801.46
  5. Step 5: Solve for x
    x = 37,047,475,801.46/201,329.30
  6. Step 6: Final answer
    x = 184,014.33

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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.