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Finding the Fourth Proportional to 186,594.48, 257,491.08 and 106,011.36

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Solution

The fourth proportional to 186,594.48, 257,491.08 and 106,011.36 is: 146,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,594.48 : 257,491.08 = 106,011.36 : x
  2. Step 2: Convert to fraction form
    186,594.48/257,491.08 = 106,011.36/x
  3. Step 3: Cross multiply
    186,594.48x = 257,491.08 × 106,011.36
  4. Step 4: Simplify right side
    186,594.48x = 27,296,979,578.67
  5. Step 5: Solve for x
    x = 27,296,979,578.67/186,594.48
  6. Step 6: Final answer
    x = 146,290.39

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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.