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Finding the Fourth Proportional to 242,847.60, 364,271.40 and 76,635.60

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Solution

The fourth proportional to 242,847.60, 364,271.40 and 76,635.60 is: 114,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,847.60 : 364,271.40 = 76,635.60 : x
  2. Step 2: Convert to fraction form
    242,847.60/364,271.40 = 76,635.60/x
  3. Step 3: Cross multiply
    242,847.60x = 364,271.40 × 76,635.60
  4. Step 4: Simplify right side
    242,847.60x = 27,916,157,301.84
  5. Step 5: Solve for x
    x = 27,916,157,301.84/242,847.60
  6. Step 6: Final answer
    x = 114,953.40

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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.