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Finding the Fourth Proportional to 186,920.30, 257,941.02 and 106,340.24

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Solution

The fourth proportional to 186,920.30, 257,941.02 and 106,340.24 is: 146,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,920.30 : 257,941.02 = 106,340.24 : x
  2. Step 2: Convert to fraction form
    186,920.30/257,941.02 = 106,340.24/x
  3. Step 3: Cross multiply
    186,920.30x = 257,941.02 × 106,340.24
  4. Step 4: Simplify right side
    186,920.30x = 27,429,509,972.64
  5. Step 5: Solve for x
    x = 27,429,509,972.64/186,920.30
  6. Step 6: Final answer
    x = 146,744.41

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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.