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Finding the Fourth Proportional to 177,806.75, 266,710.13 and 46,478.75

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Solution

The fourth proportional to 177,806.75, 266,710.13 and 46,478.75 is: 69,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,806.75 : 266,710.13 = 46,478.75 : x
  2. Step 2: Convert to fraction form
    177,806.75/266,710.13 = 46,478.75/x
  3. Step 3: Cross multiply
    177,806.75x = 266,710.13 × 46,478.75
  4. Step 4: Simplify right side
    177,806.75x = 12,396,353,454.74
  5. Step 5: Solve for x
    x = 12,396,353,454.74/177,806.75
  6. Step 6: Final answer
    x = 69,718.13

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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.