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Finding the Fourth Proportional to 260,033.86, 390,006.24 and 82,501.30

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Solution

The fourth proportional to 260,033.86, 390,006.24 and 82,501.30 is: 123,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,033.86 : 390,006.24 = 82,501.30 : x
  2. Step 2: Convert to fraction form
    260,033.86/390,006.24 = 82,501.30/x
  3. Step 3: Cross multiply
    260,033.86x = 390,006.24 × 82,501.30
  4. Step 4: Simplify right side
    260,033.86x = 32,176,021,808.11
  5. Step 5: Solve for x
    x = 32,176,021,808.11/260,033.86
  6. Step 6: Final answer
    x = 123,737.82

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