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Finding the Fourth Proportional to 177,460.80, 266,244.56 and 106,461.60

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Solution

The fourth proportional to 177,460.80, 266,244.56 and 106,461.60 is: 159,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,460.80 : 266,244.56 = 106,461.60 : x
  2. Step 2: Convert to fraction form
    177,460.80/266,244.56 = 106,461.60/x
  3. Step 3: Cross multiply
    177,460.80x = 266,244.56 × 106,461.60
  4. Step 4: Simplify right side
    177,460.80x = 28,344,821,848.90
  5. Step 5: Solve for x
    x = 28,344,821,848.90/177,460.80
  6. Step 6: Final answer
    x = 159,724.41

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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.