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Finding the Fourth Proportional to 158,431.80, 237,626.10 and 47,623.80

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Solution

The fourth proportional to 158,431.80, 237,626.10 and 47,623.80 is: 71,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,431.80 : 237,626.10 = 47,623.80 : x
  2. Step 2: Convert to fraction form
    158,431.80/237,626.10 = 47,623.80/x
  3. Step 3: Cross multiply
    158,431.80x = 237,626.10 × 47,623.80
  4. Step 4: Simplify right side
    158,431.80x = 11,316,657,861.18
  5. Step 5: Solve for x
    x = 11,316,657,861.18/158,431.80
  6. Step 6: Final answer
    x = 71,429.21

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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.