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Finding the Fourth Proportional to 175,509.30, 263,263.95 and 146,968.95

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Solution

The fourth proportional to 175,509.30, 263,263.95 and 146,968.95 is: 220,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,509.30 : 263,263.95 = 146,968.95 : x
  2. Step 2: Convert to fraction form
    175,509.30/263,263.95 = 146,968.95/x
  3. Step 3: Cross multiply
    175,509.30x = 263,263.95 × 146,968.95
  4. Step 4: Simplify right side
    175,509.30x = 38,691,626,304.35
  5. Step 5: Solve for x
    x = 38,691,626,304.35/175,509.30
  6. Step 6: Final answer
    x = 220,453.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.