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Finding the Fourth Proportional to 178,365.80, 267,548.70 and 162,036.20

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Solution

The fourth proportional to 178,365.80, 267,548.70 and 162,036.20 is: 243,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,365.80 : 267,548.70 = 162,036.20 : x
  2. Step 2: Convert to fraction form
    178,365.80/267,548.70 = 162,036.20/x
  3. Step 3: Cross multiply
    178,365.80x = 267,548.70 × 162,036.20
  4. Step 4: Simplify right side
    178,365.80x = 43,352,574,662.94
  5. Step 5: Solve for x
    x = 43,352,574,662.94/178,365.80
  6. Step 6: Final answer
    x = 243,054.30

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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.