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Finding the Fourth Proportional to 178,071.20, 267,106.80 and 53,412.20

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Solution

The fourth proportional to 178,071.20, 267,106.80 and 53,412.20 is: 80,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,071.20 : 267,106.80 = 53,412.20 : x
  2. Step 2: Convert to fraction form
    178,071.20/267,106.80 = 53,412.20/x
  3. Step 3: Cross multiply
    178,071.20x = 267,106.80 × 53,412.20
  4. Step 4: Simplify right side
    178,071.20x = 14,266,761,822.96
  5. Step 5: Solve for x
    x = 14,266,761,822.96/178,071.20
  6. Step 6: Final answer
    x = 80,118.30

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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.