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Finding the Fourth Proportional to 186,908.30, 257,924.44 and 106,328.24

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Solution

The fourth proportional to 186,908.30, 257,924.44 and 106,328.24 is: 146,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,908.30 : 257,924.44 = 106,328.24 : x
  2. Step 2: Convert to fraction form
    186,908.30/257,924.44 = 106,328.24/x
  3. Step 3: Cross multiply
    186,908.30x = 257,924.44 × 106,328.24
  4. Step 4: Simplify right side
    186,908.30x = 27,424,651,758.19
  5. Step 5: Solve for x
    x = 27,424,651,758.19/186,908.30
  6. Step 6: Final answer
    x = 146,727.84

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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.