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Finding the Fourth Proportional to 85,820.30, 128,730.45 and 71,240.30

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Solution

The fourth proportional to 85,820.30, 128,730.45 and 71,240.30 is: 106,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,820.30 : 128,730.45 = 71,240.30 : x
  2. Step 2: Convert to fraction form
    85,820.30/128,730.45 = 71,240.30/x
  3. Step 3: Cross multiply
    85,820.30x = 128,730.45 × 71,240.30
  4. Step 4: Simplify right side
    85,820.30x = 9,170,795,877.14
  5. Step 5: Solve for x
    x = 9,170,795,877.14/85,820.30
  6. Step 6: Final answer
    x = 106,860.45

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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.