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Finding the Fourth Proportional to 116,130.96, 160,263.15 and 65,829.96

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Solution

The fourth proportional to 116,130.96, 160,263.15 and 65,829.96 is: 90,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,130.96 : 160,263.15 = 65,829.96 : x
  2. Step 2: Convert to fraction form
    116,130.96/160,263.15 = 65,829.96/x
  3. Step 3: Cross multiply
    116,130.96x = 160,263.15 × 65,829.96
  4. Step 4: Simplify right side
    116,130.96x = 10,550,116,753.97
  5. Step 5: Solve for x
    x = 10,550,116,753.97/116,130.96
  6. Step 6: Final answer
    x = 90,846.72

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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.