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Finding the Fourth Proportional to 114,729.34, 171,899.82 and 70,263.22

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Solution

The fourth proportional to 114,729.34, 171,899.82 and 70,263.22 is: 105,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,729.34 : 171,899.82 = 70,263.22 : x
  2. Step 2: Convert to fraction form
    114,729.34/171,899.82 = 70,263.22/x
  3. Step 3: Cross multiply
    114,729.34x = 171,899.82 × 70,263.22
  4. Step 4: Simplify right side
    114,729.34x = 12,078,234,870.62
  5. Step 5: Solve for x
    x = 12,078,234,870.62/114,729.34
  6. Step 6: Final answer
    x = 105,275.90

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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.