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Finding the Fourth Proportional to 97,873.20, 146,809.80 and 82,666.80

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Solution

The fourth proportional to 97,873.20, 146,809.80 and 82,666.80 is: 124,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,873.20 : 146,809.80 = 82,666.80 : x
  2. Step 2: Convert to fraction form
    97,873.20/146,809.80 = 82,666.80/x
  3. Step 3: Cross multiply
    97,873.20x = 146,809.80 × 82,666.80
  4. Step 4: Simplify right side
    97,873.20x = 12,136,296,374.64
  5. Step 5: Solve for x
    x = 12,136,296,374.64/97,873.20
  6. Step 6: Final answer
    x = 124,000.20

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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.