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Finding the Fourth Proportional to 229,258.28, 343,985.98 and 111,018.28

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Solution

The fourth proportional to 229,258.28, 343,985.98 and 111,018.28 is: 166,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,258.28 : 343,985.98 = 111,018.28 : x
  2. Step 2: Convert to fraction form
    229,258.28/343,985.98 = 111,018.28/x
  3. Step 3: Cross multiply
    229,258.28x = 343,985.98 × 111,018.28
  4. Step 4: Simplify right side
    229,258.28x = 38,188,731,843.71
  5. Step 5: Solve for x
    x = 38,188,731,843.71/229,258.28
  6. Step 6: Final answer
    x = 166,575.15

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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.