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Finding the Fourth Proportional to 146,780.40, 205,630.80 and 146,780.40

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Solution

The fourth proportional to 146,780.40, 205,630.80 and 146,780.40 is: 205,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,780.40 : 205,630.80 = 146,780.40 : x
  2. Step 2: Convert to fraction form
    146,780.40/205,630.80 = 146,780.40/x
  3. Step 3: Cross multiply
    146,780.40x = 205,630.80 × 146,780.40
  4. Step 4: Simplify right side
    146,780.40x = 30,182,571,076.32
  5. Step 5: Solve for x
    x = 30,182,571,076.32/146,780.40
  6. Step 6: Final answer
    x = 205,630.80

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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.