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Finding the Fourth Proportional to 207,258.50, 310,991.44 and 94,938.50

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Solution

The fourth proportional to 207,258.50, 310,991.44 and 94,938.50 is: 142,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,258.50 : 310,991.44 = 94,938.50 : x
  2. Step 2: Convert to fraction form
    207,258.50/310,991.44 = 94,938.50/x
  3. Step 3: Cross multiply
    207,258.50x = 310,991.44 × 94,938.50
  4. Step 4: Simplify right side
    207,258.50x = 29,525,060,826.44
  5. Step 5: Solve for x
    x = 29,525,060,826.44/207,258.50
  6. Step 6: Final answer
    x = 142,455.25

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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.