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Finding the Fourth Proportional to 295,862.50, 408,290.25 and 161,726.50

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Solution

The fourth proportional to 295,862.50, 408,290.25 and 161,726.50 is: 223,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,862.50 : 408,290.25 = 161,726.50 : x
  2. Step 2: Convert to fraction form
    295,862.50/408,290.25 = 161,726.50/x
  3. Step 3: Cross multiply
    295,862.50x = 408,290.25 × 161,726.50
  4. Step 4: Simplify right side
    295,862.50x = 66,031,353,116.63
  5. Step 5: Solve for x
    x = 66,031,353,116.63/295,862.50
  6. Step 6: Final answer
    x = 223,182.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.