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Finding the Fourth Proportional to 242,810.25, 364,153.25 and 71,992.02

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Solution

The fourth proportional to 242,810.25, 364,153.25 and 71,992.02 is: 107,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,810.25 : 364,153.25 = 71,992.02 : x
  2. Step 2: Convert to fraction form
    242,810.25/364,153.25 = 71,992.02/x
  3. Step 3: Cross multiply
    242,810.25x = 364,153.25 × 71,992.02
  4. Step 4: Simplify right side
    242,810.25x = 26,216,127,697.10
  5. Step 5: Solve for x
    x = 26,216,127,697.10/242,810.25
  6. Step 6: Final answer
    x = 107,969.61

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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.