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Finding the Fourth Proportional to 115,216.60, 172,824.90 and 102,969.40

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Solution

The fourth proportional to 115,216.60, 172,824.90 and 102,969.40 is: 154,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,216.60 : 172,824.90 = 102,969.40 : x
  2. Step 2: Convert to fraction form
    115,216.60/172,824.90 = 102,969.40/x
  3. Step 3: Cross multiply
    115,216.60x = 172,824.90 × 102,969.40
  4. Step 4: Simplify right side
    115,216.60x = 17,795,676,258.06
  5. Step 5: Solve for x
    x = 17,795,676,258.06/115,216.60
  6. Step 6: Final answer
    x = 154,454.10

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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.