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Finding the Fourth Proportional to 102,124, 153,194.64 and 28,252

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Solution

The fourth proportional to 102,124, 153,194.64 and 28,252 is: 42,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124 : 153,194.64 = 28,252 : x
  2. Step 2: Convert to fraction form
    102,124/153,194.64 = 28,252/x
  3. Step 3: Cross multiply
    102,124x = 153,194.64 × 28,252
  4. Step 4: Simplify right side
    102,124x = 4,328,054,969.28
  5. Step 5: Solve for x
    x = 4,328,054,969.28/102,124
  6. Step 6: Final answer
    x = 42,380.39

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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.