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Finding the Fourth Proportional to 186,439.74, 257,277.72 and 105,865.54

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Solution

The fourth proportional to 186,439.74, 257,277.72 and 105,865.54 is: 146,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,439.74 : 257,277.72 = 105,865.54 : x
  2. Step 2: Convert to fraction form
    186,439.74/257,277.72 = 105,865.54/x
  3. Step 3: Cross multiply
    186,439.74x = 257,277.72 × 105,865.54
  4. Step 4: Simplify right side
    186,439.74x = 27,236,843,916.08
  5. Step 5: Solve for x
    x = 27,236,843,916.08/186,439.74
  6. Step 6: Final answer
    x = 146,089.26

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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.