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Finding the Fourth Proportional to 186,313.68, 257,069.16 and 105,723

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Solution

The fourth proportional to 186,313.68, 257,069.16 and 105,723 is: 145,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,313.68 : 257,069.16 = 105,723 : x
  2. Step 2: Convert to fraction form
    186,313.68/257,069.16 = 105,723/x
  3. Step 3: Cross multiply
    186,313.68x = 257,069.16 × 105,723
  4. Step 4: Simplify right side
    186,313.68x = 27,178,122,802.68
  5. Step 5: Solve for x
    x = 27,178,122,802.68/186,313.68
  6. Step 6: Final answer
    x = 145,872.93

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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.