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Finding the Fourth Proportional to 200,730.22, 276,928.68 and 115,830.88

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Solution

The fourth proportional to 200,730.22, 276,928.68 and 115,830.88 is: 159,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730.22 : 276,928.68 = 115,830.88 : x
  2. Step 2: Convert to fraction form
    200,730.22/276,928.68 = 115,830.88/x
  3. Step 3: Cross multiply
    200,730.22x = 276,928.68 × 115,830.88
  4. Step 4: Simplify right side
    200,730.22x = 32,076,892,701.64
  5. Step 5: Solve for x
    x = 32,076,892,701.64/200,730.22
  6. Step 6: Final answer
    x = 159,801.01

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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.