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Finding the Fourth Proportional to 308,702.45, 463,136.81 and 158,861.06

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Solution

The fourth proportional to 308,702.45, 463,136.81 and 158,861.06 is: 238,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,702.45 : 463,136.81 = 158,861.06 : x
  2. Step 2: Convert to fraction form
    308,702.45/463,136.81 = 158,861.06/x
  3. Step 3: Cross multiply
    308,702.45x = 463,136.81 × 158,861.06
  4. Step 4: Simplify right side
    308,702.45x = 73,574,403,188.39
  5. Step 5: Solve for x
    x = 73,574,403,188.39/308,702.45
  6. Step 6: Final answer
    x = 238,334.37

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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.