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Finding the Fourth Proportional to 158,136.64, 218,192.88 and 94,462

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Solution

The fourth proportional to 158,136.64, 218,192.88 and 94,462 is: 130,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,136.64 : 218,192.88 = 94,462 : x
  2. Step 2: Convert to fraction form
    158,136.64/218,192.88 = 94,462/x
  3. Step 3: Cross multiply
    158,136.64x = 218,192.88 × 94,462
  4. Step 4: Simplify right side
    158,136.64x = 20,610,935,830.56
  5. Step 5: Solve for x
    x = 20,610,935,830.56/158,136.64
  6. Step 6: Final answer
    x = 130,336.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.