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Finding the Fourth Proportional to 200,977.40, 301,206.90 and 153,997.40

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Solution

The fourth proportional to 200,977.40, 301,206.90 and 153,997.40 is: 230,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977.40 : 301,206.90 = 153,997.40 : x
  2. Step 2: Convert to fraction form
    200,977.40/301,206.90 = 153,997.40/x
  3. Step 3: Cross multiply
    200,977.40x = 301,206.90 × 153,997.40
  4. Step 4: Simplify right side
    200,977.40x = 46,385,079,462.06
  5. Step 5: Solve for x
    x = 46,385,079,462.06/200,977.40
  6. Step 6: Final answer
    x = 230,797.49

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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.