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Finding the Fourth Proportional to 98,523.68, 147,784.10 and 66,855.11

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Solution

The fourth proportional to 98,523.68, 147,784.10 and 66,855.11 is: 100,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523.68 : 147,784.10 = 66,855.11 : x
  2. Step 2: Convert to fraction form
    98,523.68/147,784.10 = 66,855.11/x
  3. Step 3: Cross multiply
    98,523.68x = 147,784.10 × 66,855.11
  4. Step 4: Simplify right side
    98,523.68x = 9,880,121,188.55
  5. Step 5: Solve for x
    x = 9,880,121,188.55/98,523.68
  6. Step 6: Final answer
    x = 100,281.70

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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.