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Finding the Fourth Proportional to 242,823.60, 364,235.40 and 76,611.60

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Solution

The fourth proportional to 242,823.60, 364,235.40 and 76,611.60 is: 114,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,823.60 : 364,235.40 = 76,611.60 : x
  2. Step 2: Convert to fraction form
    242,823.60/364,235.40 = 76,611.60/x
  3. Step 3: Cross multiply
    242,823.60x = 364,235.40 × 76,611.60
  4. Step 4: Simplify right side
    242,823.60x = 27,904,656,770.64
  5. Step 5: Solve for x
    x = 27,904,656,770.64/242,823.60
  6. Step 6: Final answer
    x = 114,917.40

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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.