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Finding the Fourth Proportional to 144,235.84, 199,032.04 and 83,805.84

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Solution

The fourth proportional to 144,235.84, 199,032.04 and 83,805.84 is: 115,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,235.84 : 199,032.04 = 83,805.84 : x
  2. Step 2: Convert to fraction form
    144,235.84/199,032.04 = 83,805.84/x
  3. Step 3: Cross multiply
    144,235.84x = 199,032.04 × 83,805.84
  4. Step 4: Simplify right side
    144,235.84x = 16,680,046,932.46
  5. Step 5: Solve for x
    x = 16,680,046,932.46/144,235.84
  6. Step 6: Final answer
    x = 115,644.26

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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.