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Finding the Fourth Proportional to 186,825.84, 257,817.24 and 101,941.44

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Solution

The fourth proportional to 186,825.84, 257,817.24 and 101,941.44 is: 140,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,825.84 : 257,817.24 = 101,941.44 : x
  2. Step 2: Convert to fraction form
    186,825.84/257,817.24 = 101,941.44/x
  3. Step 3: Cross multiply
    186,825.84x = 257,817.24 × 101,941.44
  4. Step 4: Simplify right side
    186,825.84x = 26,282,260,702.43
  5. Step 5: Solve for x
    x = 26,282,260,702.43/186,825.84
  6. Step 6: Final answer
    x = 140,677.87

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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.