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Finding the Fourth Proportional to 186,274.08, 257,064.84 and 105,705

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Solution

The fourth proportional to 186,274.08, 257,064.84 and 105,705 is: 145,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,274.08 : 257,064.84 = 105,705 : x
  2. Step 2: Convert to fraction form
    186,274.08/257,064.84 = 105,705/x
  3. Step 3: Cross multiply
    186,274.08x = 257,064.84 × 105,705
  4. Step 4: Simplify right side
    186,274.08x = 27,173,038,912.20
  5. Step 5: Solve for x
    x = 27,173,038,912.20/186,274.08
  6. Step 6: Final answer
    x = 145,876.65

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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.