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Finding the Fourth Proportional to 201,827, 278,057.58 and 159,370.04

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Solution

The fourth proportional to 201,827, 278,057.58 and 159,370.04 is: 219,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,827 : 278,057.58 = 159,370.04 : x
  2. Step 2: Convert to fraction form
    201,827/278,057.58 = 159,370.04/x
  3. Step 3: Cross multiply
    201,827x = 278,057.58 × 159,370.04
  4. Step 4: Simplify right side
    201,827x = 44,314,047,646.90
  5. Step 5: Solve for x
    x = 44,314,047,646.90/201,827
  6. Step 6: Final answer
    x = 219,564.52

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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.