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Finding the Fourth Proportional to 260,446.76, 390,666.08 and 82,952.27

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Solution

The fourth proportional to 260,446.76, 390,666.08 and 82,952.27 is: 124,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,446.76 : 390,666.08 = 82,952.27 : x
  2. Step 2: Convert to fraction form
    260,446.76/390,666.08 = 82,952.27/x
  3. Step 3: Cross multiply
    260,446.76x = 390,666.08 × 82,952.27
  4. Step 4: Simplify right side
    260,446.76x = 32,406,636,402.05
  5. Step 5: Solve for x
    x = 32,406,636,402.05/260,446.76
  6. Step 6: Final answer
    x = 124,427.11

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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.