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Finding the Fourth Proportional to 177,532.67, 266,207.19 and 65,184.05

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Solution

The fourth proportional to 177,532.67, 266,207.19 and 65,184.05 is: 97,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,532.67 : 266,207.19 = 65,184.05 : x
  2. Step 2: Convert to fraction form
    177,532.67/266,207.19 = 65,184.05/x
  3. Step 3: Cross multiply
    177,532.67x = 266,207.19 × 65,184.05
  4. Step 4: Simplify right side
    177,532.67x = 17,352,462,783.32
  5. Step 5: Solve for x
    x = 17,352,462,783.32/177,532.67
  6. Step 6: Final answer
    x = 97,742.36

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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.