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Finding the Fourth Proportional to 192,045.84, 288,019.54 and 132,061.90

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Solution

The fourth proportional to 192,045.84, 288,019.54 and 132,061.90 is: 198,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,045.84 : 288,019.54 = 132,061.90 : x
  2. Step 2: Convert to fraction form
    192,045.84/288,019.54 = 132,061.90/x
  3. Step 3: Cross multiply
    192,045.84x = 288,019.54 × 132,061.90
  4. Step 4: Simplify right side
    192,045.84x = 38,036,407,689.53
  5. Step 5: Solve for x
    x = 38,036,407,689.53/192,045.84
  6. Step 6: Final answer
    x = 198,059.00

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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.