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Finding the Fourth Proportional to 116,351.78, 160,547.96 and 65,354.74

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Solution

The fourth proportional to 116,351.78, 160,547.96 and 65,354.74 is: 90,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,351.78 : 160,547.96 = 65,354.74 : x
  2. Step 2: Convert to fraction form
    116,351.78/160,547.96 = 65,354.74/x
  3. Step 3: Cross multiply
    116,351.78x = 160,547.96 × 65,354.74
  4. Step 4: Simplify right side
    116,351.78x = 10,492,570,183.33
  5. Step 5: Solve for x
    x = 10,492,570,183.33/116,351.78
  6. Step 6: Final answer
    x = 90,179.71

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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.