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Finding the Fourth Proportional to 85,205.90, 117,592.90 and 51,225.46

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Solution

The fourth proportional to 85,205.90, 117,592.90 and 51,225.46 is: 70,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,205.90 : 117,592.90 = 51,225.46 : x
  2. Step 2: Convert to fraction form
    85,205.90/117,592.90 = 51,225.46/x
  3. Step 3: Cross multiply
    85,205.90x = 117,592.90 × 51,225.46
  4. Step 4: Simplify right side
    85,205.90x = 6,023,750,395.23
  5. Step 5: Solve for x
    x = 6,023,750,395.23/85,205.90
  6. Step 6: Final answer
    x = 70,696.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.