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Finding the Fourth Proportional to 186,583.32, 257,491.92 and 106,024.50

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Solution

The fourth proportional to 186,583.32, 257,491.92 and 106,024.50 is: 146,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,583.32 : 257,491.92 = 106,024.50 : x
  2. Step 2: Convert to fraction form
    186,583.32/257,491.92 = 106,024.50/x
  3. Step 3: Cross multiply
    186,583.32x = 257,491.92 × 106,024.50
  4. Step 4: Simplify right side
    186,583.32x = 27,300,452,072.04
  5. Step 5: Solve for x
    x = 27,300,452,072.04/186,583.32
  6. Step 6: Final answer
    x = 146,317.75

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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.