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Finding the Fourth Proportional to 201,437.80, 301,719.30 and 122,705.80

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Solution

The fourth proportional to 201,437.80, 301,719.30 and 122,705.80 is: 183,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,437.80 : 301,719.30 = 122,705.80 : x
  2. Step 2: Convert to fraction form
    201,437.80/301,719.30 = 122,705.80/x
  3. Step 3: Cross multiply
    201,437.80x = 301,719.30 × 122,705.80
  4. Step 4: Simplify right side
    201,437.80x = 37,022,708,081.94
  5. Step 5: Solve for x
    x = 37,022,708,081.94/201,437.80
  6. Step 6: Final answer
    x = 183,792.26

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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.