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Finding the Fourth Proportional to 200,830.96, 301,143.48 and 106,112.08

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Solution

The fourth proportional to 200,830.96, 301,143.48 and 106,112.08 is: 159,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,830.96 : 301,143.48 = 106,112.08 : x
  2. Step 2: Convert to fraction form
    200,830.96/301,143.48 = 106,112.08/x
  3. Step 3: Cross multiply
    200,830.96x = 301,143.48 × 106,112.08
  4. Step 4: Simplify right side
    200,830.96x = 31,954,961,041.24
  5. Step 5: Solve for x
    x = 31,954,961,041.24/200,830.96
  6. Step 6: Final answer
    x = 159,113.72

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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.