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Finding the Fourth Proportional to 72,909.40, 102,384.20 and 72,909.40

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Solution

The fourth proportional to 72,909.40, 102,384.20 and 72,909.40 is: 102,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,909.40 : 102,384.20 = 72,909.40 : x
  2. Step 2: Convert to fraction form
    72,909.40/102,384.20 = 72,909.40/x
  3. Step 3: Cross multiply
    72,909.40x = 102,384.20 × 72,909.40
  4. Step 4: Simplify right side
    72,909.40x = 7,464,770,591.48
  5. Step 5: Solve for x
    x = 7,464,770,591.48/72,909.40
  6. Step 6: Final answer
    x = 102,384.20

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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.