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Finding the Fourth Proportional to 260,082.40, 390,123.60 and 201,033.40

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Solution

The fourth proportional to 260,082.40, 390,123.60 and 201,033.40 is: 301,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,082.40 : 390,123.60 = 201,033.40 : x
  2. Step 2: Convert to fraction form
    260,082.40/390,123.60 = 201,033.40/x
  3. Step 3: Cross multiply
    260,082.40x = 390,123.60 × 201,033.40
  4. Step 4: Simplify right side
    260,082.40x = 78,427,873,728.24
  5. Step 5: Solve for x
    x = 78,427,873,728.24/260,082.40
  6. Step 6: Final answer
    x = 301,550.10

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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.