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Finding the Fourth Proportional to 114,403.10, 157,882.09 and 65,987.02

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Solution

The fourth proportional to 114,403.10, 157,882.09 and 65,987.02 is: 91,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,403.10 : 157,882.09 = 65,987.02 : x
  2. Step 2: Convert to fraction form
    114,403.10/157,882.09 = 65,987.02/x
  3. Step 3: Cross multiply
    114,403.10x = 157,882.09 × 65,987.02
  4. Step 4: Simplify right side
    114,403.10x = 10,418,168,070.80
  5. Step 5: Solve for x
    x = 10,418,168,070.80/114,403.10
  6. Step 6: Final answer
    x = 91,065.43

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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.