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Finding the Fourth Proportional to 81,970.80, 122,783.40 and 81,970.80

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Solution

The fourth proportional to 81,970.80, 122,783.40 and 81,970.80 is: 122,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.80 : 122,783.40 = 81,970.80 : x
  2. Step 2: Convert to fraction form
    81,970.80/122,783.40 = 81,970.80/x
  3. Step 3: Cross multiply
    81,970.80x = 122,783.40 × 81,970.80
  4. Step 4: Simplify right side
    81,970.80x = 10,064,653,524.72
  5. Step 5: Solve for x
    x = 10,064,653,524.72/81,970.80
  6. Step 6: Final answer
    x = 122,783.40

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1.5x scale

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.