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Finding the Fourth Proportional to 242,698.30, 364,211.46 and 84,928.12

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Solution

The fourth proportional to 242,698.30, 364,211.46 and 84,928.12 is: 127,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,698.30 : 364,211.46 = 84,928.12 : x
  2. Step 2: Convert to fraction form
    242,698.30/364,211.46 = 84,928.12/x
  3. Step 3: Cross multiply
    242,698.30x = 364,211.46 × 84,928.12
  4. Step 4: Simplify right side
    242,698.30x = 30,931,794,580.26
  5. Step 5: Solve for x
    x = 30,931,794,580.26/242,698.30
  6. Step 6: Final answer
    x = 127,449.57

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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.