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Finding the Fourth Proportional to 114,354.44, 157,809.14 and 69,642.44

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Solution

The fourth proportional to 114,354.44, 157,809.14 and 69,642.44 is: 96,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,354.44 : 157,809.14 = 69,642.44 : x
  2. Step 2: Convert to fraction form
    114,354.44/157,809.14 = 69,642.44/x
  3. Step 3: Cross multiply
    114,354.44x = 157,809.14 × 69,642.44
  4. Step 4: Simplify right side
    114,354.44x = 10,990,213,563.90
  5. Step 5: Solve for x
    x = 10,990,213,563.90/114,354.44
  6. Step 6: Final answer
    x = 96,106.57

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1.5x scale

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.