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Finding the Fourth Proportional to 109,052.40, 152,984.40 and 109,052.40

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Solution

The fourth proportional to 109,052.40, 152,984.40 and 109,052.40 is: 152,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,052.40 : 152,984.40 = 109,052.40 : x
  2. Step 2: Convert to fraction form
    109,052.40/152,984.40 = 109,052.40/x
  3. Step 3: Cross multiply
    109,052.40x = 152,984.40 × 109,052.40
  4. Step 4: Simplify right side
    109,052.40x = 16,683,315,982.56
  5. Step 5: Solve for x
    x = 16,683,315,982.56/109,052.40
  6. Step 6: Final answer
    x = 152,984.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.