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Finding the Fourth Proportional to 242,336.80, 363,562.80 and 102,023.20

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Solution

The fourth proportional to 242,336.80, 363,562.80 and 102,023.20 is: 153,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,336.80 : 363,562.80 = 102,023.20 : x
  2. Step 2: Convert to fraction form
    242,336.80/363,562.80 = 102,023.20/x
  3. Step 3: Cross multiply
    242,336.80x = 363,562.80 × 102,023.20
  4. Step 4: Simplify right side
    242,336.80x = 37,091,840,256.96
  5. Step 5: Solve for x
    x = 37,091,840,256.96/242,336.80
  6. Step 6: Final answer
    x = 153,059.05

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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.