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Finding the Fourth Proportional to 117,273, 175,909.50 and 47,135.91

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Solution

The fourth proportional to 117,273, 175,909.50 and 47,135.91 is: 70,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,273 : 175,909.50 = 47,135.91 : x
  2. Step 2: Convert to fraction form
    117,273/175,909.50 = 47,135.91/x
  3. Step 3: Cross multiply
    117,273x = 175,909.50 × 47,135.91
  4. Step 4: Simplify right side
    117,273x = 8,291,654,360.15
  5. Step 5: Solve for x
    x = 8,291,654,360.15/117,273
  6. Step 6: Final answer
    x = 70,703.87

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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.