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Finding the Fourth Proportional to 242,537.30, 363,672.06 and 112,564.42

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Solution

The fourth proportional to 242,537.30, 363,672.06 and 112,564.42 is: 168,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,537.30 : 363,672.06 = 112,564.42 : x
  2. Step 2: Convert to fraction form
    242,537.30/363,672.06 = 112,564.42/x
  3. Step 3: Cross multiply
    242,537.30x = 363,672.06 × 112,564.42
  4. Step 4: Simplify right side
    242,537.30x = 40,936,534,504.11
  5. Step 5: Solve for x
    x = 40,936,534,504.11/242,537.30
  6. Step 6: Final answer
    x = 168,784.49

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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.