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Finding the Fourth Proportional to 309,126.53, 463,636.25 and 92,982.13

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Solution

The fourth proportional to 309,126.53, 463,636.25 and 92,982.13 is: 139,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,126.53 : 463,636.25 = 92,982.13 : x
  2. Step 2: Convert to fraction form
    309,126.53/463,636.25 = 92,982.13/x
  3. Step 3: Cross multiply
    309,126.53x = 463,636.25 × 92,982.13
  4. Step 4: Simplify right side
    309,126.53x = 43,109,883,752.03
  5. Step 5: Solve for x
    x = 43,109,883,752.03/309,126.53
  6. Step 6: Final answer
    x = 139,457.08

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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.