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Finding the Fourth Proportional to 182,031.76, 273,047.64 and 71,146

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Solution

The fourth proportional to 182,031.76, 273,047.64 and 71,146 is: 106,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,031.76 : 273,047.64 = 71,146 : x
  2. Step 2: Convert to fraction form
    182,031.76/273,047.64 = 71,146/x
  3. Step 3: Cross multiply
    182,031.76x = 273,047.64 × 71,146
  4. Step 4: Simplify right side
    182,031.76x = 19,426,247,395.44
  5. Step 5: Solve for x
    x = 19,426,247,395.44/182,031.76
  6. Step 6: Final answer
    x = 106,719.00

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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.