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Finding the Fourth Proportional to 164,216.88, 226,618.56 and 88,765.20

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Solution

The fourth proportional to 164,216.88, 226,618.56 and 88,765.20 is: 122,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,216.88 : 226,618.56 = 88,765.20 : x
  2. Step 2: Convert to fraction form
    164,216.88/226,618.56 = 88,765.20/x
  3. Step 3: Cross multiply
    164,216.88x = 226,618.56 × 88,765.20
  4. Step 4: Simplify right side
    164,216.88x = 20,115,841,802.11
  5. Step 5: Solve for x
    x = 20,115,841,802.11/164,216.88
  6. Step 6: Final answer
    x = 122,495.58

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1.5x scale

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.