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Finding the Fourth Proportional to 177,675, 266,512.50 and 46,347

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Solution

The fourth proportional to 177,675, 266,512.50 and 46,347 is: 69,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,675 : 266,512.50 = 46,347 : x
  2. Step 2: Convert to fraction form
    177,675/266,512.50 = 46,347/x
  3. Step 3: Cross multiply
    177,675x = 266,512.50 × 46,347
  4. Step 4: Simplify right side
    177,675x = 12,352,054,837.50
  5. Step 5: Solve for x
    x = 12,352,054,837.50/177,675
  6. Step 6: Final answer
    x = 69,520.50

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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.