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Finding the Fourth Proportional to 163,862.25, 245,733.85 and 57,216.25

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Solution

The fourth proportional to 163,862.25, 245,733.85 and 57,216.25 is: 85,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,862.25 : 245,733.85 = 57,216.25 : x
  2. Step 2: Convert to fraction form
    163,862.25/245,733.85 = 57,216.25/x
  3. Step 3: Cross multiply
    163,862.25x = 245,733.85 × 57,216.25
  4. Step 4: Simplify right side
    163,862.25x = 14,059,969,395.06
  5. Step 5: Solve for x
    x = 14,059,969,395.06/163,862.25
  6. Step 6: Final answer
    x = 85,803.59

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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.