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Finding the Fourth Proportional to 186,814.82, 257,810.14 and 106,253.94

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Solution

The fourth proportional to 186,814.82, 257,810.14 and 106,253.94 is: 146,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,814.82 : 257,810.14 = 106,253.94 : x
  2. Step 2: Convert to fraction form
    186,814.82/257,810.14 = 106,253.94/x
  3. Step 3: Cross multiply
    186,814.82x = 257,810.14 × 106,253.94
  4. Step 4: Simplify right side
    186,814.82x = 27,393,344,246.56
  5. Step 5: Solve for x
    x = 27,393,344,246.56/186,814.82
  6. Step 6: Final answer
    x = 146,633.68

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1.5x scale

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.