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Finding the Fourth Proportional to 82,816.40, 123,965.40 and 65,190.80

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Solution

The fourth proportional to 82,816.40, 123,965.40 and 65,190.80 is: 97,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816.40 : 123,965.40 = 65,190.80 : x
  2. Step 2: Convert to fraction form
    82,816.40/123,965.40 = 65,190.80/x
  3. Step 3: Cross multiply
    82,816.40x = 123,965.40 × 65,190.80
  4. Step 4: Simplify right side
    82,816.40x = 8,081,403,598.32
  5. Step 5: Solve for x
    x = 8,081,403,598.32/82,816.40
  6. Step 6: Final answer
    x = 97,582.16

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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.