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Finding the Fourth Proportional to 192,565.84, 288,876.12 and 59,457.04

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Solution

The fourth proportional to 192,565.84, 288,876.12 and 59,457.04 is: 89,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,565.84 : 288,876.12 = 59,457.04 : x
  2. Step 2: Convert to fraction form
    192,565.84/288,876.12 = 59,457.04/x
  3. Step 3: Cross multiply
    192,565.84x = 288,876.12 × 59,457.04
  4. Step 4: Simplify right side
    192,565.84x = 17,175,719,021.88
  5. Step 5: Solve for x
    x = 17,175,719,021.88/192,565.84
  6. Step 6: Final answer
    x = 89,194.01

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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.