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Finding the Fourth Proportional to 200,754.40, 301,128.12 and 48,952.80

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Solution

The fourth proportional to 200,754.40, 301,128.12 and 48,952.80 is: 73,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.40 : 301,128.12 = 48,952.80 : x
  2. Step 2: Convert to fraction form
    200,754.40/301,128.12 = 48,952.80/x
  3. Step 3: Cross multiply
    200,754.40x = 301,128.12 × 48,952.80
  4. Step 4: Simplify right side
    200,754.40x = 14,741,064,632.74
  5. Step 5: Solve for x
    x = 14,741,064,632.74/200,754.40
  6. Step 6: Final answer
    x = 73,428.35

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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.