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Finding the Fourth Proportional to 309,381.63, 463,941.22 and 109,752.27

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Solution

The fourth proportional to 309,381.63, 463,941.22 and 109,752.27 is: 164,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,381.63 : 463,941.22 = 109,752.27 : x
  2. Step 2: Convert to fraction form
    309,381.63/463,941.22 = 109,752.27/x
  3. Step 3: Cross multiply
    309,381.63x = 463,941.22 × 109,752.27
  4. Step 4: Simplify right side
    309,381.63x = 50,918,602,041.57
  5. Step 5: Solve for x
    x = 50,918,602,041.57/309,381.63
  6. Step 6: Final answer
    x = 164,581.85

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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.