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Finding the Fourth Proportional to 201,528.56, 278,104.92 and 116,643.92

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Solution

The fourth proportional to 201,528.56, 278,104.92 and 116,643.92 is: 160,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,528.56 : 278,104.92 = 116,643.92 : x
  2. Step 2: Convert to fraction form
    201,528.56/278,104.92 = 116,643.92/x
  3. Step 3: Cross multiply
    201,528.56x = 278,104.92 × 116,643.92
  4. Step 4: Simplify right side
    201,528.56x = 32,439,248,040.09
  5. Step 5: Solve for x
    x = 32,439,248,040.09/201,528.56
  6. Step 6: Final answer
    x = 160,966.01

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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.