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Finding the Fourth Proportional to 111,705.46, 154,189.48 and 71,527.48

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Solution

The fourth proportional to 111,705.46, 154,189.48 and 71,527.48 is: 98,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,705.46 : 154,189.48 = 71,527.48 : x
  2. Step 2: Convert to fraction form
    111,705.46/154,189.48 = 71,527.48/x
  3. Step 3: Cross multiply
    111,705.46x = 154,189.48 × 71,527.48
  4. Step 4: Simplify right side
    111,705.46x = 11,028,784,946.91
  5. Step 5: Solve for x
    x = 11,028,784,946.91/111,705.46
  6. Step 6: Final answer
    x = 98,730.94

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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.