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Finding the Fourth Proportional to 259,475.40, 388,905.90 and 109,715.40

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Solution

The fourth proportional to 259,475.40, 388,905.90 and 109,715.40 is: 164,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,475.40 : 388,905.90 = 109,715.40 : x
  2. Step 2: Convert to fraction form
    259,475.40/388,905.90 = 109,715.40/x
  3. Step 3: Cross multiply
    259,475.40x = 388,905.90 × 109,715.40
  4. Step 4: Simplify right side
    259,475.40x = 42,668,966,380.86
  5. Step 5: Solve for x
    x = 42,668,966,380.86/259,475.40
  6. Step 6: Final answer
    x = 164,443.20

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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.