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Finding the Fourth Proportional to 200,719.02, 301,129.16 and 141,670.02

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Solution

The fourth proportional to 200,719.02, 301,129.16 and 141,670.02 is: 212,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,719.02 : 301,129.16 = 141,670.02 : x
  2. Step 2: Convert to fraction form
    200,719.02/301,129.16 = 141,670.02/x
  3. Step 3: Cross multiply
    200,719.02x = 301,129.16 × 141,670.02
  4. Step 4: Simplify right side
    200,719.02x = 42,660,973,411.43
  5. Step 5: Solve for x
    x = 42,660,973,411.43/200,719.02
  6. Step 6: Final answer
    x = 212,540.76

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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.