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Finding the Fourth Proportional to 260,040.10, 390,060.15 and 141,942.10

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Solution

The fourth proportional to 260,040.10, 390,060.15 and 141,942.10 is: 212,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,040.10 : 390,060.15 = 141,942.10 : x
  2. Step 2: Convert to fraction form
    260,040.10/390,060.15 = 141,942.10/x
  3. Step 3: Cross multiply
    260,040.10x = 390,060.15 × 141,942.10
  4. Step 4: Simplify right side
    260,040.10x = 55,365,956,817.32
  5. Step 5: Solve for x
    x = 55,365,956,817.32/260,040.10
  6. Step 6: Final answer
    x = 212,913.15

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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.