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Finding the Fourth Proportional to 105,096.57, 157,707.11 and 98,447.01

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Solution

The fourth proportional to 105,096.57, 157,707.11 and 98,447.01 is: 147,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,096.57 : 157,707.11 = 98,447.01 : x
  2. Step 2: Convert to fraction form
    105,096.57/157,707.11 = 98,447.01/x
  3. Step 3: Cross multiply
    105,096.57x = 157,707.11 × 98,447.01
  4. Step 4: Simplify right side
    105,096.57x = 15,525,794,272.76
  5. Step 5: Solve for x
    x = 15,525,794,272.76/105,096.57
  6. Step 6: Final answer
    x = 147,728.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.