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Finding the Fourth Proportional to 186,348.42, 257,161.44 and 101,466

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Solution

The fourth proportional to 186,348.42, 257,161.44 and 101,466 is: 140,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,348.42 : 257,161.44 = 101,466 : x
  2. Step 2: Convert to fraction form
    186,348.42/257,161.44 = 101,466/x
  3. Step 3: Cross multiply
    186,348.42x = 257,161.44 × 101,466
  4. Step 4: Simplify right side
    186,348.42x = 26,093,142,671.04
  5. Step 5: Solve for x
    x = 26,093,142,671.04/186,348.42
  6. Step 6: Final answer
    x = 140,023.42

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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.