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Finding the Fourth Proportional to 200,293.20, 299,953.80 and 106,592.40

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Solution

The fourth proportional to 200,293.20, 299,953.80 and 106,592.40 is: 159,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,293.20 : 299,953.80 = 106,592.40 : x
  2. Step 2: Convert to fraction form
    200,293.20/299,953.80 = 106,592.40/x
  3. Step 3: Cross multiply
    200,293.20x = 299,953.80 × 106,592.40
  4. Step 4: Simplify right side
    200,293.20x = 31,972,795,431.12
  5. Step 5: Solve for x
    x = 31,972,795,431.12/200,293.20
  6. Step 6: Final answer
    x = 159,629.96

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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.