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Finding the Fourth Proportional to 177,899.06, 266,774.76 and 65,585.66

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Solution

The fourth proportional to 177,899.06, 266,774.76 and 65,585.66 is: 98,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,899.06 : 266,774.76 = 65,585.66 : x
  2. Step 2: Convert to fraction form
    177,899.06/266,774.76 = 65,585.66/x
  3. Step 3: Cross multiply
    177,899.06x = 266,774.76 × 65,585.66
  4. Step 4: Simplify right side
    177,899.06x = 17,496,598,705.94
  5. Step 5: Solve for x
    x = 17,496,598,705.94/177,899.06
  6. Step 6: Final answer
    x = 98,351.27

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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.