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Finding the Fourth Proportional to 117,257, 175,885.50 and 29,705

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Solution

The fourth proportional to 117,257, 175,885.50 and 29,705 is: 44,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,257 : 175,885.50 = 29,705 : x
  2. Step 2: Convert to fraction form
    117,257/175,885.50 = 29,705/x
  3. Step 3: Cross multiply
    117,257x = 175,885.50 × 29,705
  4. Step 4: Simplify right side
    117,257x = 5,224,678,777.50
  5. Step 5: Solve for x
    x = 5,224,678,777.50/117,257
  6. Step 6: Final answer
    x = 44,557.50

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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.