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Finding the Fourth Proportional to 243,325.23, 364,988.70 and 74,844.42

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Solution

The fourth proportional to 243,325.23, 364,988.70 and 74,844.42 is: 112,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,325.23 : 364,988.70 = 74,844.42 : x
  2. Step 2: Convert to fraction form
    243,325.23/364,988.70 = 74,844.42/x
  3. Step 3: Cross multiply
    243,325.23x = 364,988.70 × 74,844.42
  4. Step 4: Simplify right side
    243,325.23x = 27,317,365,358.89
  5. Step 5: Solve for x
    x = 27,317,365,358.89/243,325.23
  6. Step 6: Final answer
    x = 112,266.89

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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.