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Finding the Fourth Proportional to 186,292.71, 257,082.66 and 101,409.57

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Solution

The fourth proportional to 186,292.71, 257,082.66 and 101,409.57 is: 139,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,292.71 : 257,082.66 = 101,409.57 : x
  2. Step 2: Convert to fraction form
    186,292.71/257,082.66 = 101,409.57/x
  3. Step 3: Cross multiply
    186,292.71x = 257,082.66 × 101,409.57
  4. Step 4: Simplify right side
    186,292.71x = 26,070,642,005.06
  5. Step 5: Solve for x
    x = 26,070,642,005.06/186,292.71
  6. Step 6: Final answer
    x = 139,944.51

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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.