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Finding the Fourth Proportional to 116,656.08, 160,943.28 and 76,392.80

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Solution

The fourth proportional to 116,656.08, 160,943.28 and 76,392.80 is: 105,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,656.08 : 160,943.28 = 76,392.80 : x
  2. Step 2: Convert to fraction form
    116,656.08/160,943.28 = 76,392.80/x
  3. Step 3: Cross multiply
    116,656.08x = 160,943.28 × 76,392.80
  4. Step 4: Simplify right side
    116,656.08x = 12,294,907,800.38
  5. Step 5: Solve for x
    x = 12,294,907,800.38/116,656.08
  6. Step 6: Final answer
    x = 105,394.49

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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.