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Finding the Fourth Proportional to 186,564.84, 257,198.64 and 157,768.82

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Solution

The fourth proportional to 186,564.84, 257,198.64 and 157,768.82 is: 217,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,564.84 : 257,198.64 = 157,768.82 : x
  2. Step 2: Convert to fraction form
    186,564.84/257,198.64 = 157,768.82/x
  3. Step 3: Cross multiply
    186,564.84x = 257,198.64 × 157,768.82
  4. Step 4: Simplify right side
    186,564.84x = 40,577,925,938.40
  5. Step 5: Solve for x
    x = 40,577,925,938.40/186,564.84
  6. Step 6: Final answer
    x = 217,500.39

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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.