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Finding the Fourth Proportional to 158,644.80, 238,096.80 and 153,460.80

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Solution

The fourth proportional to 158,644.80, 238,096.80 and 153,460.80 is: 230,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,644.80 : 238,096.80 = 153,460.80 : x
  2. Step 2: Convert to fraction form
    158,644.80/238,096.80 = 153,460.80/x
  3. Step 3: Cross multiply
    158,644.80x = 238,096.80 × 153,460.80
  4. Step 4: Simplify right side
    158,644.80x = 36,538,525,405.44
  5. Step 5: Solve for x
    x = 36,538,525,405.44/158,644.80
  6. Step 6: Final answer
    x = 230,316.57

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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.