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Finding the Fourth Proportional to 186,868.59, 257,788.95 and 122,309.40

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Solution

The fourth proportional to 186,868.59, 257,788.95 and 122,309.40 is: 168,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,868.59 : 257,788.95 = 122,309.40 : x
  2. Step 2: Convert to fraction form
    186,868.59/257,788.95 = 122,309.40/x
  3. Step 3: Cross multiply
    186,868.59x = 257,788.95 × 122,309.40
  4. Step 4: Simplify right side
    186,868.59x = 31,530,012,751.38
  5. Step 5: Solve for x
    x = 31,530,012,751.38/186,868.59
  6. Step 6: Final answer
    x = 168,728.27

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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.