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Finding the Fourth Proportional to 186,780.84, 257,757.48 and 101,898.48

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Solution

The fourth proportional to 186,780.84, 257,757.48 and 101,898.48 is: 140,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,780.84 : 257,757.48 = 101,898.48 : x
  2. Step 2: Convert to fraction form
    186,780.84/257,757.48 = 101,898.48/x
  3. Step 3: Cross multiply
    186,780.84x = 257,757.48 × 101,898.48
  4. Step 4: Simplify right side
    186,780.84x = 26,265,095,420.63
  5. Step 5: Solve for x
    x = 26,265,095,420.63/186,780.84
  6. Step 6: Final answer
    x = 140,619.86

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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.