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Finding the Fourth Proportional to 242,766.72, 364,150.08 and 102,526.56

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Solution

The fourth proportional to 242,766.72, 364,150.08 and 102,526.56 is: 153,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,766.72 : 364,150.08 = 102,526.56 : x
  2. Step 2: Convert to fraction form
    242,766.72/364,150.08 = 102,526.56/x
  3. Step 3: Cross multiply
    242,766.72x = 364,150.08 × 102,526.56
  4. Step 4: Simplify right side
    242,766.72x = 37,335,055,026.12
  5. Step 5: Solve for x
    x = 37,335,055,026.12/242,766.72
  6. Step 6: Final answer
    x = 153,789.84

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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.