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Finding the Fourth Proportional to 186,513.66, 257,380.80 and 105,940.94

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Solution

The fourth proportional to 186,513.66, 257,380.80 and 105,940.94 is: 146,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,513.66 : 257,380.80 = 105,940.94 : x
  2. Step 2: Convert to fraction form
    186,513.66/257,380.80 = 105,940.94/x
  3. Step 3: Cross multiply
    186,513.66x = 257,380.80 × 105,940.94
  4. Step 4: Simplify right side
    186,513.66x = 27,267,163,889.95
  5. Step 5: Solve for x
    x = 27,267,163,889.95/186,513.66
  6. Step 6: Final answer
    x = 146,193.92

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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.