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Finding the Fourth Proportional to 177,808.75, 266,713.13 and 46,480.75

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Solution

The fourth proportional to 177,808.75, 266,713.13 and 46,480.75 is: 69,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,808.75 : 266,713.13 = 46,480.75 : x
  2. Step 2: Convert to fraction form
    177,808.75/266,713.13 = 46,480.75/x
  3. Step 3: Cross multiply
    177,808.75x = 266,713.13 × 46,480.75
  4. Step 4: Simplify right side
    177,808.75x = 12,397,026,317.25
  5. Step 5: Solve for x
    x = 12,397,026,317.25/177,808.75
  6. Step 6: Final answer
    x = 69,721.13

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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.