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Finding the Fourth Proportional to 195,002.50, 292,503.75 and 47,258.50

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Solution

The fourth proportional to 195,002.50, 292,503.75 and 47,258.50 is: 70,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,002.50 : 292,503.75 = 47,258.50 : x
  2. Step 2: Convert to fraction form
    195,002.50/292,503.75 = 47,258.50/x
  3. Step 3: Cross multiply
    195,002.50x = 292,503.75 × 47,258.50
  4. Step 4: Simplify right side
    195,002.50x = 13,823,288,469.38
  5. Step 5: Solve for x
    x = 13,823,288,469.38/195,002.50
  6. Step 6: Final answer
    x = 70,887.75

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