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Finding the Fourth Proportional to 164,306, 226,742.30 and 88,854.52

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Solution

The fourth proportional to 164,306, 226,742.30 and 88,854.52 is: 122,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,306 : 226,742.30 = 88,854.52 : x
  2. Step 2: Convert to fraction form
    164,306/226,742.30 = 88,854.52/x
  3. Step 3: Cross multiply
    164,306x = 226,742.30 × 88,854.52
  4. Step 4: Simplify right side
    164,306x = 20,147,078,230.20
  5. Step 5: Solve for x
    x = 20,147,078,230.20/164,306
  6. Step 6: Final answer
    x = 122,619.25

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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.