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Finding the Fourth Proportional to 186,291.50, 257,082.30 and 101,409.20

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Solution

The fourth proportional to 186,291.50, 257,082.30 and 101,409.20 is: 139,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,291.50 : 257,082.30 = 101,409.20 : x
  2. Step 2: Convert to fraction form
    186,291.50/257,082.30 = 101,409.20/x
  3. Step 3: Cross multiply
    186,291.50x = 257,082.30 × 101,409.20
  4. Step 4: Simplify right side
    186,291.50x = 26,070,510,377.16
  5. Step 5: Solve for x
    x = 26,070,510,377.16/186,291.50
  6. Step 6: Final answer
    x = 139,944.71

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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.