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Finding the Fourth Proportional to 114,468.44, 157,811.02 and 96,532.00

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Solution

The fourth proportional to 114,468.44, 157,811.02 and 96,532.00 is: 133,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,468.44 : 157,811.02 = 96,532.00 : x
  2. Step 2: Convert to fraction form
    114,468.44/157,811.02 = 96,532.00/x
  3. Step 3: Cross multiply
    114,468.44x = 157,811.02 × 96,532.00
  4. Step 4: Simplify right side
    114,468.44x = 15,233,812,746.78
  5. Step 5: Solve for x
    x = 15,233,812,746.78/114,468.44
  6. Step 6: Final answer
    x = 133,083.09

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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.