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Finding the Fourth Proportional to 114,391.16, 157,722.54 and 98,448.20

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Solution

The fourth proportional to 114,391.16, 157,722.54 and 98,448.20 is: 135,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,391.16 : 157,722.54 = 98,448.20 : x
  2. Step 2: Convert to fraction form
    114,391.16/157,722.54 = 98,448.20/x
  3. Step 3: Cross multiply
    114,391.16x = 157,722.54 × 98,448.20
  4. Step 4: Simplify right side
    114,391.16x = 15,527,500,162.43
  5. Step 5: Solve for x
    x = 15,527,500,162.43/114,391.16
  6. Step 6: Final answer
    x = 135,740.39

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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.