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Finding the Fourth Proportional to 186,838.52, 257,834.75 and 101,950.11

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Solution

The fourth proportional to 186,838.52, 257,834.75 and 101,950.11 is: 140,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,838.52 : 257,834.75 = 101,950.11 : x
  2. Step 2: Convert to fraction form
    186,838.52/257,834.75 = 101,950.11/x
  3. Step 3: Cross multiply
    186,838.52x = 257,834.75 × 101,950.11
  4. Step 4: Simplify right side
    186,838.52x = 26,286,280,614.57
  5. Step 5: Solve for x
    x = 26,286,280,614.57/186,838.52
  6. Step 6: Final answer
    x = 140,689.84

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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.