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Finding the Fourth Proportional to 190,877.97, 286,218.84 and 100,969.03

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Solution

The fourth proportional to 190,877.97, 286,218.84 and 100,969.03 is: 151,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,877.97 : 286,218.84 = 100,969.03 : x
  2. Step 2: Convert to fraction form
    190,877.97/286,218.84 = 100,969.03/x
  3. Step 3: Cross multiply
    190,877.97x = 286,218.84 × 100,969.03
  4. Step 4: Simplify right side
    190,877.97x = 28,899,238,642.53
  5. Step 5: Solve for x
    x = 28,899,238,642.53/190,877.97
  6. Step 6: Final answer
    x = 151,401.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.