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Finding the Fourth Proportional to 192,069.68, 288,104.51 and 51,828.08

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Solution

The fourth proportional to 192,069.68, 288,104.51 and 51,828.08 is: 77,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,069.68 : 288,104.51 = 51,828.08 : x
  2. Step 2: Convert to fraction form
    192,069.68/288,104.51 = 51,828.08/x
  3. Step 3: Cross multiply
    192,069.68x = 288,104.51 × 51,828.08
  4. Step 4: Simplify right side
    192,069.68x = 14,931,902,281.69
  5. Step 5: Solve for x
    x = 14,931,902,281.69/192,069.68
  6. Step 6: Final answer
    x = 77,742.11

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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.