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Finding the Fourth Proportional to 116,457.34, 160,716.83 and 65,486.12

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Solution

The fourth proportional to 116,457.34, 160,716.83 and 65,486.12 is: 90,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,457.34 : 160,716.83 = 65,486.12 : x
  2. Step 2: Convert to fraction form
    116,457.34/160,716.83 = 65,486.12/x
  3. Step 3: Cross multiply
    116,457.34x = 160,716.83 × 65,486.12
  4. Step 4: Simplify right side
    116,457.34x = 10,524,720,484.38
  5. Step 5: Solve for x
    x = 10,524,720,484.38/116,457.34
  6. Step 6: Final answer
    x = 90,374.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.