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Finding the Fourth Proportional to 114,878.48, 158,509 and 67,122.60

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Solution

The fourth proportional to 114,878.48, 158,509 and 67,122.60 is: 92,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,878.48 : 158,509 = 67,122.60 : x
  2. Step 2: Convert to fraction form
    114,878.48/158,509 = 67,122.60/x
  3. Step 3: Cross multiply
    114,878.48x = 158,509 × 67,122.60
  4. Step 4: Simplify right side
    114,878.48x = 10,639,536,203.40
  5. Step 5: Solve for x
    x = 10,639,536,203.40/114,878.48
  6. Step 6: Final answer
    x = 92,615.57

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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.