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Finding the Fourth Proportional to 153,773.42, 230,694 and 47,172.06

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Solution

The fourth proportional to 153,773.42, 230,694 and 47,172.06 is: 70,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,773.42 : 230,694 = 47,172.06 : x
  2. Step 2: Convert to fraction form
    153,773.42/230,694 = 47,172.06/x
  3. Step 3: Cross multiply
    153,773.42x = 230,694 × 47,172.06
  4. Step 4: Simplify right side
    153,773.42x = 10,882,311,209.64
  5. Step 5: Solve for x
    x = 10,882,311,209.64/153,773.42
  6. Step 6: Final answer
    x = 70,768.48

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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.