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Finding the Fourth Proportional to 78,253.94, 117,378.81 and 22,097.90

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Solution

The fourth proportional to 78,253.94, 117,378.81 and 22,097.90 is: 33,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,253.94 : 117,378.81 = 22,097.90 : x
  2. Step 2: Convert to fraction form
    78,253.94/117,378.81 = 22,097.90/x
  3. Step 3: Cross multiply
    78,253.94x = 117,378.81 × 22,097.90
  4. Step 4: Simplify right side
    78,253.94x = 2,593,824,618.60
  5. Step 5: Solve for x
    x = 2,593,824,618.60/78,253.94
  6. Step 6: Final answer
    x = 33,146.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.