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Finding the Fourth Proportional to 192,158.34, 288,412.42 and 102,276.51

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Solution

The fourth proportional to 192,158.34, 288,412.42 and 102,276.51 is: 153,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,158.34 : 288,412.42 = 102,276.51 : x
  2. Step 2: Convert to fraction form
    192,158.34/288,412.42 = 102,276.51/x
  3. Step 3: Cross multiply
    192,158.34x = 288,412.42 × 102,276.51
  4. Step 4: Simplify right side
    192,158.34x = 29,497,814,525.84
  5. Step 5: Solve for x
    x = 29,497,814,525.84/192,158.34
  6. Step 6: Final answer
    x = 153,507.86

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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.