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Finding the Fourth Proportional to 116,423.32, 160,662.54 and 76,204.12

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Solution

The fourth proportional to 116,423.32, 160,662.54 and 76,204.12 is: 105,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,423.32 : 160,662.54 = 76,204.12 : x
  2. Step 2: Convert to fraction form
    116,423.32/160,662.54 = 76,204.12/x
  3. Step 3: Cross multiply
    116,423.32x = 160,662.54 × 76,204.12
  4. Step 4: Simplify right side
    116,423.32x = 12,243,147,477.66
  5. Step 5: Solve for x
    x = 12,243,147,477.66/116,423.32
  6. Step 6: Final answer
    x = 105,160.61

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