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Finding the Fourth Proportional to 100,706.13, 151,071.50 and 34,165.30

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Solution

The fourth proportional to 100,706.13, 151,071.50 and 34,165.30 is: 51,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706.13 : 151,071.50 = 34,165.30 : x
  2. Step 2: Convert to fraction form
    100,706.13/151,071.50 = 34,165.30/x
  3. Step 3: Cross multiply
    100,706.13x = 151,071.50 × 34,165.30
  4. Step 4: Simplify right side
    100,706.13x = 5,161,403,118.95
  5. Step 5: Solve for x
    x = 5,161,403,118.95/100,706.13
  6. Step 6: Final answer
    x = 51,252.12

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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.