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Finding the Fourth Proportional to 214,878.13, 322,281.44 and 65,082.80

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Solution

The fourth proportional to 214,878.13, 322,281.44 and 65,082.80 is: 97,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,878.13 : 322,281.44 = 65,082.80 : x
  2. Step 2: Convert to fraction form
    214,878.13/322,281.44 = 65,082.80/x
  3. Step 3: Cross multiply
    214,878.13x = 322,281.44 × 65,082.80
  4. Step 4: Simplify right side
    214,878.13x = 20,974,978,503.23
  5. Step 5: Solve for x
    x = 20,974,978,503.23/214,878.13
  6. Step 6: Final answer
    x = 97,613.37

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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.