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Finding the Fourth Proportional to 146,564.85, 205,657.35 and 146,564.85

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Solution

The fourth proportional to 146,564.85, 205,657.35 and 146,564.85 is: 205,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,564.85 : 205,657.35 = 146,564.85 : x
  2. Step 2: Convert to fraction form
    146,564.85/205,657.35 = 146,564.85/x
  3. Step 3: Cross multiply
    146,564.85x = 205,657.35 × 146,564.85
  4. Step 4: Simplify right side
    146,564.85x = 30,142,138,654.15
  5. Step 5: Solve for x
    x = 30,142,138,654.15/146,564.85
  6. Step 6: Final answer
    x = 205,657.35

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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.