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Finding the Fourth Proportional to 200,666.58, 301,049.96 and 141,617.58

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Solution

The fourth proportional to 200,666.58, 301,049.96 and 141,617.58 is: 212,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666.58 : 301,049.96 = 141,617.58 : x
  2. Step 2: Convert to fraction form
    200,666.58/301,049.96 = 141,617.58/x
  3. Step 3: Cross multiply
    200,666.58x = 301,049.96 × 141,617.58
  4. Step 4: Simplify right side
    200,666.58x = 42,633,966,086.21
  5. Step 5: Solve for x
    x = 42,633,966,086.21/200,666.58
  6. Step 6: Final answer
    x = 212,461.72

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1.5x scale

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.