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Finding the Fourth Proportional to 164,530.40, 229,876 and 164,530.40

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Solution

The fourth proportional to 164,530.40, 229,876 and 164,530.40 is: 229,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,530.40 : 229,876 = 164,530.40 : x
  2. Step 2: Convert to fraction form
    164,530.40/229,876 = 164,530.40/x
  3. Step 3: Cross multiply
    164,530.40x = 229,876 × 164,530.40
  4. Step 4: Simplify right side
    164,530.40x = 37,821,590,230.40
  5. Step 5: Solve for x
    x = 37,821,590,230.40/164,530.40
  6. Step 6: Final answer
    x = 229,876.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.