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Finding the Fourth Proportional to 283,792.94, 391,794.45 and 188,430.02

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Solution

The fourth proportional to 283,792.94, 391,794.45 and 188,430.02 is: 260,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,792.94 : 391,794.45 = 188,430.02 : x
  2. Step 2: Convert to fraction form
    283,792.94/391,794.45 = 188,430.02/x
  3. Step 3: Cross multiply
    283,792.94x = 391,794.45 × 188,430.02
  4. Step 4: Simplify right side
    283,792.94x = 73,825,836,322.26
  5. Step 5: Solve for x
    x = 73,825,836,322.26/283,792.94
  6. Step 6: Final answer
    x = 260,139.79

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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.