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Finding the Fourth Proportional to 177,866.40, 266,410.80 and 158,167.20

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Solution

The fourth proportional to 177,866.40, 266,410.80 and 158,167.20 is: 236,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,866.40 : 266,410.80 = 158,167.20 : x
  2. Step 2: Convert to fraction form
    177,866.40/266,410.80 = 158,167.20/x
  3. Step 3: Cross multiply
    177,866.40x = 266,410.80 × 158,167.20
  4. Step 4: Simplify right side
    177,866.40x = 42,137,450,285.76
  5. Step 5: Solve for x
    x = 42,137,450,285.76/177,866.40
  6. Step 6: Final answer
    x = 236,905.06

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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.