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Finding the Fourth Proportional to 242,738.14, 364,106.68 and 65,245.15

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Solution

The fourth proportional to 242,738.14, 364,106.68 and 65,245.15 is: 97,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,738.14 : 364,106.68 = 65,245.15 : x
  2. Step 2: Convert to fraction form
    242,738.14/364,106.68 = 65,245.15/x
  3. Step 3: Cross multiply
    242,738.14x = 364,106.68 × 65,245.15
  4. Step 4: Simplify right side
    242,738.14x = 23,756,194,952.60
  5. Step 5: Solve for x
    x = 23,756,194,952.60/242,738.14
  6. Step 6: Final answer
    x = 97,867.58

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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.