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Finding the Fourth Proportional to 186,289, 257,340.24 and 166,139.44

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Solution

The fourth proportional to 186,289, 257,340.24 and 166,139.44 is: 229,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,289 : 257,340.24 = 166,139.44 : x
  2. Step 2: Convert to fraction form
    186,289/257,340.24 = 166,139.44/x
  3. Step 3: Cross multiply
    186,289x = 257,340.24 × 166,139.44
  4. Step 4: Simplify right side
    186,289x = 42,754,363,363.07
  5. Step 5: Solve for x
    x = 42,754,363,363.07/186,289
  6. Step 6: Final answer
    x = 229,505.57

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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.