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Finding the Fourth Proportional to 114,130.68, 157,505.04 and 63,142.60

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Solution

The fourth proportional to 114,130.68, 157,505.04 and 63,142.60 is: 87,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,130.68 : 157,505.04 = 63,142.60 : x
  2. Step 2: Convert to fraction form
    114,130.68/157,505.04 = 63,142.60/x
  3. Step 3: Cross multiply
    114,130.68x = 157,505.04 × 63,142.60
  4. Step 4: Simplify right side
    114,130.68x = 9,945,277,738.70
  5. Step 5: Solve for x
    x = 9,945,277,738.70/114,130.68
  6. Step 6: Final answer
    x = 87,139.39

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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.