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Finding the Fourth Proportional to 201,410.70, 302,116.05 and 122,678.70

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Solution

The fourth proportional to 201,410.70, 302,116.05 and 122,678.70 is: 184,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,410.70 : 302,116.05 = 122,678.70 : x
  2. Step 2: Convert to fraction form
    201,410.70/302,116.05 = 122,678.70/x
  3. Step 3: Cross multiply
    201,410.70x = 302,116.05 × 122,678.70
  4. Step 4: Simplify right side
    201,410.70x = 37,063,204,263.14
  5. Step 5: Solve for x
    x = 37,063,204,263.14/201,410.70
  6. Step 6: Final answer
    x = 184,018.05

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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.