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Finding the Fourth Proportional to 201,323.17, 302,034.16 and 100,168.95

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Solution

The fourth proportional to 201,323.17, 302,034.16 and 100,168.95 is: 150,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,323.17 : 302,034.16 = 100,168.95 : x
  2. Step 2: Convert to fraction form
    201,323.17/302,034.16 = 100,168.95/x
  3. Step 3: Cross multiply
    201,323.17x = 302,034.16 × 100,168.95
  4. Step 4: Simplify right side
    201,323.17x = 30,254,444,671.33
  5. Step 5: Solve for x
    x = 30,254,444,671.33/201,323.17
  6. Step 6: Final answer
    x = 150,278.01

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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.