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Finding the Fourth Proportional to 114,249.68, 157,642.14 and 71,783.68

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Solution

The fourth proportional to 114,249.68, 157,642.14 and 71,783.68 is: 99,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,249.68 : 157,642.14 = 71,783.68 : x
  2. Step 2: Convert to fraction form
    114,249.68/157,642.14 = 71,783.68/x
  3. Step 3: Cross multiply
    114,249.68x = 157,642.14 × 71,783.68
  4. Step 4: Simplify right side
    114,249.68x = 11,316,132,932.28
  5. Step 5: Solve for x
    x = 11,316,132,932.28/114,249.68
  6. Step 6: Final answer
    x = 99,047.39

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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.