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Finding the Fourth Proportional to 200,660.36, 301,018.14 and 116,460.11

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Solution

The fourth proportional to 200,660.36, 301,018.14 and 116,460.11 is: 174,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,660.36 : 301,018.14 = 116,460.11 : x
  2. Step 2: Convert to fraction form
    200,660.36/301,018.14 = 116,460.11/x
  3. Step 3: Cross multiply
    200,660.36x = 301,018.14 × 116,460.11
  4. Step 4: Simplify right side
    200,660.36x = 35,056,606,448.94
  5. Step 5: Solve for x
    x = 35,056,606,448.94/200,660.36
  6. Step 6: Final answer
    x = 174,706.19

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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.