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Finding the Fourth Proportional to 186,451.56, 257,304.90 and 105,880.74

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Solution

The fourth proportional to 186,451.56, 257,304.90 and 105,880.74 is: 146,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,451.56 : 257,304.90 = 105,880.74 : x
  2. Step 2: Convert to fraction form
    186,451.56/257,304.90 = 105,880.74/x
  3. Step 3: Cross multiply
    186,451.56x = 257,304.90 × 105,880.74
  4. Step 4: Simplify right side
    186,451.56x = 27,243,633,217.63
  5. Step 5: Solve for x
    x = 27,243,633,217.63/186,451.56
  6. Step 6: Final answer
    x = 146,116.41

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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.