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Finding the Fourth Proportional to 186,814.72, 257,810.02 and 106,253.86

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Solution

The fourth proportional to 186,814.72, 257,810.02 and 106,253.86 is: 146,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,814.72 : 257,810.02 = 106,253.86 : x
  2. Step 2: Convert to fraction form
    186,814.72/257,810.02 = 106,253.86/x
  3. Step 3: Cross multiply
    186,814.72x = 257,810.02 × 106,253.86
  4. Step 4: Simplify right side
    186,814.72x = 27,393,309,771.68
  5. Step 5: Solve for x
    x = 27,393,309,771.68/186,814.72
  6. Step 6: Final answer
    x = 146,633.57

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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.