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Finding the Fourth Proportional to 260,081.56, 390,219.52 and 102,419.92

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Solution

The fourth proportional to 260,081.56, 390,219.52 and 102,419.92 is: 153,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,081.56 : 390,219.52 = 102,419.92 : x
  2. Step 2: Convert to fraction form
    260,081.56/390,219.52 = 102,419.92/x
  3. Step 3: Cross multiply
    260,081.56x = 390,219.52 × 102,419.92
  4. Step 4: Simplify right side
    260,081.56x = 39,966,252,020.84
  5. Step 5: Solve for x
    x = 39,966,252,020.84/260,081.56
  6. Step 6: Final answer
    x = 153,668.15

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Why These Related Problems?

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