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Finding the Fourth Proportional to 282,031.02, 389,139.87 and 167,251.35

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Solution

The fourth proportional to 282,031.02, 389,139.87 and 167,251.35 is: 230,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,031.02 : 389,139.87 = 167,251.35 : x
  2. Step 2: Convert to fraction form
    282,031.02/389,139.87 = 167,251.35/x
  3. Step 3: Cross multiply
    282,031.02x = 389,139.87 × 167,251.35
  4. Step 4: Simplify right side
    282,031.02x = 65,084,168,596.32
  5. Step 5: Solve for x
    x = 65,084,168,596.32/282,031.02
  6. Step 6: Final answer
    x = 230,769.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.