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Finding the Fourth Proportional to 242,829.60, 364,255.20 and 82,903.20

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Solution

The fourth proportional to 242,829.60, 364,255.20 and 82,903.20 is: 124,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,829.60 : 364,255.20 = 82,903.20 : x
  2. Step 2: Convert to fraction form
    242,829.60/364,255.20 = 82,903.20/x
  3. Step 3: Cross multiply
    242,829.60x = 364,255.20 × 82,903.20
  4. Step 4: Simplify right side
    242,829.60x = 30,197,921,696.64
  5. Step 5: Solve for x
    x = 30,197,921,696.64/242,829.60
  6. Step 6: Final answer
    x = 124,358.49

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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.