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Finding the Fourth Proportional to 102,074.40, 140,870.56 and 61,240.06

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Solution

The fourth proportional to 102,074.40, 140,870.56 and 61,240.06 is: 84,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,074.40 : 140,870.56 = 61,240.06 : x
  2. Step 2: Convert to fraction form
    102,074.40/140,870.56 = 61,240.06/x
  3. Step 3: Cross multiply
    102,074.40x = 140,870.56 × 61,240.06
  4. Step 4: Simplify right side
    102,074.40x = 8,626,921,546.63
  5. Step 5: Solve for x
    x = 8,626,921,546.63/102,074.40
  6. Step 6: Final answer
    x = 84,516.02

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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.