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Finding the Fourth Proportional to 186,404.62, 257,229.54 and 105,821.50

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Solution

The fourth proportional to 186,404.62, 257,229.54 and 105,821.50 is: 146,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,404.62 : 257,229.54 = 105,821.50 : x
  2. Step 2: Convert to fraction form
    186,404.62/257,229.54 = 105,821.50/x
  3. Step 3: Cross multiply
    186,404.62x = 257,229.54 × 105,821.50
  4. Step 4: Simplify right side
    186,404.62x = 27,220,415,767.11
  5. Step 5: Solve for x
    x = 27,220,415,767.11/186,404.62
  6. Step 6: Final answer
    x = 146,028.65

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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.