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Finding the Fourth Proportional to 186,771.94, 257,725.40 and 105,098.77

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Solution

The fourth proportional to 186,771.94, 257,725.40 and 105,098.77 is: 145,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,771.94 : 257,725.40 = 105,098.77 : x
  2. Step 2: Convert to fraction form
    186,771.94/257,725.40 = 105,098.77/x
  3. Step 3: Cross multiply
    186,771.94x = 257,725.40 × 105,098.77
  4. Step 4: Simplify right side
    186,771.94x = 27,086,621,278.84
  5. Step 5: Solve for x
    x = 27,086,621,278.84/186,771.94
  6. Step 6: Final answer
    x = 145,025.11

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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.