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Finding the Fourth Proportional to 243,095.42, 364,682.02 and 102,855.26

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Solution

The fourth proportional to 243,095.42, 364,682.02 and 102,855.26 is: 154,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,095.42 : 364,682.02 = 102,855.26 : x
  2. Step 2: Convert to fraction form
    243,095.42/364,682.02 = 102,855.26/x
  3. Step 3: Cross multiply
    243,095.42x = 364,682.02 × 102,855.26
  4. Step 4: Simplify right side
    243,095.42x = 37,509,463,984.43
  5. Step 5: Solve for x
    x = 37,509,463,984.43/243,095.42
  6. Step 6: Final answer
    x = 154,299.34

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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.