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Finding the Fourth Proportional to 242,602.34, 363,958.90 and 74,146.64

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Solution

The fourth proportional to 242,602.34, 363,958.90 and 74,146.64 is: 111,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,602.34 : 363,958.90 = 74,146.64 : x
  2. Step 2: Convert to fraction form
    242,602.34/363,958.90 = 74,146.64/x
  3. Step 3: Cross multiply
    242,602.34x = 363,958.90 × 74,146.64
  4. Step 4: Simplify right side
    242,602.34x = 26,986,329,533.10
  5. Step 5: Solve for x
    x = 26,986,329,533.10/242,602.34
  6. Step 6: Final answer
    x = 111,236.89

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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.