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Finding the Fourth Proportional to 200,806.64, 301,112.96 and 116,587.98

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Solution

The fourth proportional to 200,806.64, 301,112.96 and 116,587.98 is: 174,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,806.64 : 301,112.96 = 116,587.98 : x
  2. Step 2: Convert to fraction form
    200,806.64/301,112.96 = 116,587.98/x
  3. Step 3: Cross multiply
    200,806.64x = 301,112.96 × 116,587.98
  4. Step 4: Simplify right side
    200,806.64x = 35,106,151,758.22
  5. Step 5: Solve for x
    x = 35,106,151,758.22/200,806.64
  6. Step 6: Final answer
    x = 174,825.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.