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Finding the Fourth Proportional to 186,763.83, 257,733.53 and 101,880.28

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Solution

The fourth proportional to 186,763.83, 257,733.53 and 101,880.28 is: 140,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,763.83 : 257,733.53 = 101,880.28 : x
  2. Step 2: Convert to fraction form
    186,763.83/257,733.53 = 101,880.28/x
  3. Step 3: Cross multiply
    186,763.83x = 257,733.53 × 101,880.28
  4. Step 4: Simplify right side
    186,763.83x = 26,257,964,396.61
  5. Step 5: Solve for x
    x = 26,257,964,396.61/186,763.83
  6. Step 6: Final answer
    x = 140,594.49

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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.