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Finding the Fourth Proportional to 302,052.78, 452,796.08 and 102,233.34

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Solution

The fourth proportional to 302,052.78, 452,796.08 and 102,233.34 is: 153,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,052.78 : 452,796.08 = 102,233.34 : x
  2. Step 2: Convert to fraction form
    302,052.78/452,796.08 = 102,233.34/x
  3. Step 3: Cross multiply
    302,052.78x = 452,796.08 × 102,233.34
  4. Step 4: Simplify right side
    302,052.78x = 46,290,855,086.14
  5. Step 5: Solve for x
    x = 46,290,855,086.14/302,052.78
  6. Step 6: Final answer
    x = 153,254.19

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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.