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Finding the Fourth Proportional to 164,462.40, 229,780.80 and 164,462.40

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Solution

The fourth proportional to 164,462.40, 229,780.80 and 164,462.40 is: 229,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,462.40 : 229,780.80 = 164,462.40 : x
  2. Step 2: Convert to fraction form
    164,462.40/229,780.80 = 164,462.40/x
  3. Step 3: Cross multiply
    164,462.40x = 229,780.80 × 164,462.40
  4. Step 4: Simplify right side
    164,462.40x = 37,790,301,841.92
  5. Step 5: Solve for x
    x = 37,790,301,841.92/164,462.40
  6. Step 6: Final answer
    x = 229,780.80

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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.