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Finding the Fourth Proportional to 200,521.80, 276,720.14 and 109,877.02

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Solution

The fourth proportional to 200,521.80, 276,720.14 and 109,877.02 is: 151,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,521.80 : 276,720.14 = 109,877.02 : x
  2. Step 2: Convert to fraction form
    200,521.80/276,720.14 = 109,877.02/x
  3. Step 3: Cross multiply
    200,521.80x = 276,720.14 × 109,877.02
  4. Step 4: Simplify right side
    200,521.80x = 30,405,184,357.18
  5. Step 5: Solve for x
    x = 30,405,184,357.18/200,521.80
  6. Step 6: Final answer
    x = 151,630.32

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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.