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Finding the Fourth Proportional to 114,253.84, 157,651.44 and 71,782.12

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Solution

The fourth proportional to 114,253.84, 157,651.44 and 71,782.12 is: 99,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,253.84 : 157,651.44 = 71,782.12 : x
  2. Step 2: Convert to fraction form
    114,253.84/157,651.44 = 71,782.12/x
  3. Step 3: Cross multiply
    114,253.84x = 157,651.44 × 71,782.12
  4. Step 4: Simplify right side
    114,253.84x = 11,316,554,584.25
  5. Step 5: Solve for x
    x = 11,316,554,584.25/114,253.84
  6. Step 6: Final answer
    x = 99,047.48

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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.