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Finding the Fourth Proportional to 201,483.09, 278,015.81 and 116,583.75

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Solution

The fourth proportional to 201,483.09, 278,015.81 and 116,583.75 is: 160,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,483.09 : 278,015.81 = 116,583.75 : x
  2. Step 2: Convert to fraction form
    201,483.09/278,015.81 = 116,583.75/x
  3. Step 3: Cross multiply
    201,483.09x = 278,015.81 × 116,583.75
  4. Step 4: Simplify right side
    201,483.09x = 32,412,125,106.17
  5. Step 5: Solve for x
    x = 32,412,125,106.17/201,483.09
  6. Step 6: Final answer
    x = 160,867.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.