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Finding the Fourth Proportional to 144,169.84, 198,946.14 and 86,092.12

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Solution

The fourth proportional to 144,169.84, 198,946.14 and 86,092.12 is: 118,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,169.84 : 198,946.14 = 86,092.12 : x
  2. Step 2: Convert to fraction form
    144,169.84/198,946.14 = 86,092.12/x
  3. Step 3: Cross multiply
    144,169.84x = 198,946.14 × 86,092.12
  4. Step 4: Simplify right side
    144,169.84x = 17,127,694,958.42
  5. Step 5: Solve for x
    x = 17,127,694,958.42/144,169.84
  6. Step 6: Final answer
    x = 118,802.21

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1.5x scale

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.