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Finding the Fourth Proportional to 187,199.40, 280,799.30 and 46,958.03

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Solution

The fourth proportional to 187,199.40, 280,799.30 and 46,958.03 is: 70,437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,199.40 : 280,799.30 = 46,958.03 : x
  2. Step 2: Convert to fraction form
    187,199.40/280,799.30 = 46,958.03/x
  3. Step 3: Cross multiply
    187,199.40x = 280,799.30 × 46,958.03
  4. Step 4: Simplify right side
    187,199.40x = 13,185,780,549.38
  5. Step 5: Solve for x
    x = 13,185,780,549.38/187,199.40
  6. Step 6: Final answer
    x = 70,437.09

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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.