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Finding the Fourth Proportional to 190,877.88, 286,218.93 and 100,969.14

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Solution

The fourth proportional to 190,877.88, 286,218.93 and 100,969.14 is: 151,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,877.88 : 286,218.93 = 100,969.14 : x
  2. Step 2: Convert to fraction form
    190,877.88/286,218.93 = 100,969.14/x
  3. Step 3: Cross multiply
    190,877.88x = 286,218.93 × 100,969.14
  4. Step 4: Simplify right side
    190,877.88x = 28,899,279,213.82
  5. Step 5: Solve for x
    x = 28,899,279,213.82/190,877.88
  6. Step 6: Final answer
    x = 151,401.93

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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.