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Finding the Fourth Proportional to 99,451.89, 137,200.23 and 65,416.68

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Solution

The fourth proportional to 99,451.89, 137,200.23 and 65,416.68 is: 90,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,451.89 : 137,200.23 = 65,416.68 : x
  2. Step 2: Convert to fraction form
    99,451.89/137,200.23 = 65,416.68/x
  3. Step 3: Cross multiply
    99,451.89x = 137,200.23 × 65,416.68
  4. Step 4: Simplify right side
    99,451.89x = 8,975,183,541.84
  5. Step 5: Solve for x
    x = 8,975,183,541.84/99,451.89
  6. Step 6: Final answer
    x = 90,246.49

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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.