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Finding the Fourth Proportional to 186,733.91, 257,696.30 and 101,854.01

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Solution

The fourth proportional to 186,733.91, 257,696.30 and 101,854.01 is: 140,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,733.91 : 257,696.30 = 101,854.01 : x
  2. Step 2: Convert to fraction form
    186,733.91/257,696.30 = 101,854.01/x
  3. Step 3: Cross multiply
    186,733.91x = 257,696.30 × 101,854.01
  4. Step 4: Simplify right side
    186,733.91x = 26,247,401,517.16
  5. Step 5: Solve for x
    x = 26,247,401,517.16/186,733.91
  6. Step 6: Final answer
    x = 140,560.45

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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.