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Finding the Fourth Proportional to 192,157.58, 288,411.29 and 102,275.76

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Solution

The fourth proportional to 192,157.58, 288,411.29 and 102,275.76 is: 153,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,157.58 : 288,411.29 = 102,275.76 : x
  2. Step 2: Convert to fraction form
    192,157.58/288,411.29 = 102,275.76/x
  3. Step 3: Cross multiply
    192,157.58x = 288,411.29 × 102,275.76
  4. Step 4: Simplify right side
    192,157.58x = 29,497,483,077.84
  5. Step 5: Solve for x
    x = 29,497,483,077.84/192,157.58
  6. Step 6: Final answer
    x = 153,506.73

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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.