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Finding the Fourth Proportional to 144,348.84, 199,241.64 and 99,034.20

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Solution

The fourth proportional to 144,348.84, 199,241.64 and 99,034.20 is: 136,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,348.84 : 199,241.64 = 99,034.20 : x
  2. Step 2: Convert to fraction form
    144,348.84/199,241.64 = 99,034.20/x
  3. Step 3: Cross multiply
    144,348.84x = 199,241.64 × 99,034.20
  4. Step 4: Simplify right side
    144,348.84x = 19,731,736,424.09
  5. Step 5: Solve for x
    x = 19,731,736,424.09/144,348.84
  6. Step 6: Final answer
    x = 136,694.80

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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.