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Finding the Fourth Proportional to 182,427.10, 251,730.24 and 105,931.24

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Solution

The fourth proportional to 182,427.10, 251,730.24 and 105,931.24 is: 146,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,427.10 : 251,730.24 = 105,931.24 : x
  2. Step 2: Convert to fraction form
    182,427.10/251,730.24 = 105,931.24/x
  3. Step 3: Cross multiply
    182,427.10x = 251,730.24 × 105,931.24
  4. Step 4: Simplify right side
    182,427.10x = 26,666,096,468.70
  5. Step 5: Solve for x
    x = 26,666,096,468.70/182,427.10
  6. Step 6: Final answer
    x = 146,173.99

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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.