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Finding the Fourth Proportional to 177,542.16, 266,010.12 and 97,647

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Solution

The fourth proportional to 177,542.16, 266,010.12 and 97,647 is: 146,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,542.16 : 266,010.12 = 97,647 : x
  2. Step 2: Convert to fraction form
    177,542.16/266,010.12 = 97,647/x
  3. Step 3: Cross multiply
    177,542.16x = 266,010.12 × 97,647
  4. Step 4: Simplify right side
    177,542.16x = 25,975,090,187.64
  5. Step 5: Solve for x
    x = 25,975,090,187.64/177,542.16
  6. Step 6: Final answer
    x = 146,303.79

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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.