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Finding the Fourth Proportional to 282,094.52, 423,247.12 and 113,662.63

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Solution

The fourth proportional to 282,094.52, 423,247.12 and 113,662.63 is: 170,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,094.52 : 423,247.12 = 113,662.63 : x
  2. Step 2: Convert to fraction form
    282,094.52/423,247.12 = 113,662.63/x
  3. Step 3: Cross multiply
    282,094.52x = 423,247.12 × 113,662.63
  4. Step 4: Simplify right side
    282,094.52x = 48,107,381,044.03
  5. Step 5: Solve for x
    x = 48,107,381,044.03/282,094.52
  6. Step 6: Final answer
    x = 170,536.39

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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.