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Finding the Fourth Proportional to 310,861.16, 465,681.57 and 161,199.29

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Solution

The fourth proportional to 310,861.16, 465,681.57 and 161,199.29 is: 241,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,861.16 : 465,681.57 = 161,199.29 : x
  2. Step 2: Convert to fraction form
    310,861.16/465,681.57 = 161,199.29/x
  3. Step 3: Cross multiply
    310,861.16x = 465,681.57 × 161,199.29
  4. Step 4: Simplify right side
    310,861.16x = 75,067,538,450.09
  5. Step 5: Solve for x
    x = 75,067,538,450.09/310,861.16
  6. Step 6: Final answer
    x = 241,482.53

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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.