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Finding the Fourth Proportional to 82,265.53, 113,416.64 and 65,325.84

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Solution

The fourth proportional to 82,265.53, 113,416.64 and 65,325.84 is: 90,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,265.53 : 113,416.64 = 65,325.84 : x
  2. Step 2: Convert to fraction form
    82,265.53/113,416.64 = 65,325.84/x
  3. Step 3: Cross multiply
    82,265.53x = 113,416.64 × 65,325.84
  4. Step 4: Simplify right side
    82,265.53x = 7,409,037,277.98
  5. Step 5: Solve for x
    x = 7,409,037,277.98/82,265.53
  6. Step 6: Final answer
    x = 90,062.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.