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Finding the Fourth Proportional to 260,034.10, 390,051.15 and 102,181.30

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Solution

The fourth proportional to 260,034.10, 390,051.15 and 102,181.30 is: 153,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,034.10 : 390,051.15 = 102,181.30 : x
  2. Step 2: Convert to fraction form
    260,034.10/390,051.15 = 102,181.30/x
  3. Step 3: Cross multiply
    260,034.10x = 390,051.15 × 102,181.30
  4. Step 4: Simplify right side
    260,034.10x = 39,855,933,573.50
  5. Step 5: Solve for x
    x = 39,855,933,573.50/260,034.10
  6. Step 6: Final answer
    x = 153,271.95

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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.