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Finding the Fourth Proportional to 242,803.70, 364,243.04 and 82,842.14

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Solution

The fourth proportional to 242,803.70, 364,243.04 and 82,842.14 is: 124,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,803.70 : 364,243.04 = 82,842.14 : x
  2. Step 2: Convert to fraction form
    242,803.70/364,243.04 = 82,842.14/x
  3. Step 3: Cross multiply
    242,803.70x = 364,243.04 × 82,842.14
  4. Step 4: Simplify right side
    242,803.70x = 30,174,672,913.71
  5. Step 5: Solve for x
    x = 30,174,672,913.71/242,803.70
  6. Step 6: Final answer
    x = 124,276.00

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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.