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Finding the Fourth Proportional to 84,199.68, 116,188.20 and 53,931.60

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Solution

The fourth proportional to 84,199.68, 116,188.20 and 53,931.60 is: 74,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,199.68 : 116,188.20 = 53,931.60 : x
  2. Step 2: Convert to fraction form
    84,199.68/116,188.20 = 53,931.60/x
  3. Step 3: Cross multiply
    84,199.68x = 116,188.20 × 53,931.60
  4. Step 4: Simplify right side
    84,199.68x = 6,266,215,527.12
  5. Step 5: Solve for x
    x = 6,266,215,527.12/84,199.68
  6. Step 6: Final answer
    x = 74,420.89

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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.