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Finding the Fourth Proportional to 260,830.56, 359,935.20 and 146,120.16

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Solution

The fourth proportional to 260,830.56, 359,935.20 and 146,120.16 is: 201,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,830.56 : 359,935.20 = 146,120.16 : x
  2. Step 2: Convert to fraction form
    260,830.56/359,935.20 = 146,120.16/x
  3. Step 3: Cross multiply
    260,830.56x = 359,935.20 × 146,120.16
  4. Step 4: Simplify right side
    260,830.56x = 52,593,789,013.63
  5. Step 5: Solve for x
    x = 52,593,789,013.63/260,830.56
  6. Step 6: Final answer
    x = 201,639.67

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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.