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Finding the Fourth Proportional to 164,055.45, 229,833.15 and 164,055.45

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Solution

The fourth proportional to 164,055.45, 229,833.15 and 164,055.45 is: 229,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,055.45 : 229,833.15 = 164,055.45 : x
  2. Step 2: Convert to fraction form
    164,055.45/229,833.15 = 164,055.45/x
  3. Step 3: Cross multiply
    164,055.45x = 229,833.15 × 164,055.45
  4. Step 4: Simplify right side
    164,055.45x = 37,705,380,848.17
  5. Step 5: Solve for x
    x = 37,705,380,848.17/164,055.45
  6. Step 6: Final answer
    x = 229,833.15

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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.