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Finding the Fourth Proportional to 201,783.84, 278,494.38 and 116,950.08

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Solution

The fourth proportional to 201,783.84, 278,494.38 and 116,950.08 is: 161,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783.84 : 278,494.38 = 116,950.08 : x
  2. Step 2: Convert to fraction form
    201,783.84/278,494.38 = 116,950.08/x
  3. Step 3: Cross multiply
    201,783.84x = 278,494.38 × 116,950.08
  4. Step 4: Simplify right side
    201,783.84x = 32,569,940,020.55
  5. Step 5: Solve for x
    x = 32,569,940,020.55/201,783.84
  6. Step 6: Final answer
    x = 161,410.05

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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.