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Finding the Fourth Proportional to 186,313.92, 257,118.72 and 105,739.68

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Solution

The fourth proportional to 186,313.92, 257,118.72 and 105,739.68 is: 145,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,313.92 : 257,118.72 = 105,739.68 : x
  2. Step 2: Convert to fraction form
    186,313.92/257,118.72 = 105,739.68/x
  3. Step 3: Cross multiply
    186,313.92x = 257,118.72 × 105,739.68
  4. Step 4: Simplify right side
    186,313.92x = 27,187,651,174.81
  5. Step 5: Solve for x
    x = 27,187,651,174.81/186,313.92
  6. Step 6: Final answer
    x = 145,923.89

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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.