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Finding the Fourth Proportional to 260,097.80, 390,146.70 and 73,109.30

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Solution

The fourth proportional to 260,097.80, 390,146.70 and 73,109.30 is: 109,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,097.80 : 390,146.70 = 73,109.30 : x
  2. Step 2: Convert to fraction form
    260,097.80/390,146.70 = 73,109.30/x
  3. Step 3: Cross multiply
    260,097.80x = 390,146.70 × 73,109.30
  4. Step 4: Simplify right side
    260,097.80x = 28,523,352,134.31
  5. Step 5: Solve for x
    x = 28,523,352,134.31/260,097.80
  6. Step 6: Final answer
    x = 109,663.95

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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.