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Finding the Fourth Proportional to 186,231.71, 279,301.31 and 53,113.12

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Solution

The fourth proportional to 186,231.71, 279,301.31 and 53,113.12 is: 79,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,231.71 : 279,301.31 = 53,113.12 : x
  2. Step 2: Convert to fraction form
    186,231.71/279,301.31 = 53,113.12/x
  3. Step 3: Cross multiply
    186,231.71x = 279,301.31 × 53,113.12
  4. Step 4: Simplify right side
    186,231.71x = 14,834,563,528.30
  5. Step 5: Solve for x
    x = 14,834,563,528.30/186,231.71
  6. Step 6: Final answer
    x = 79,656.49

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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.