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Finding the Fourth Proportional to 255,723.80, 383,552.10 and 78,248.60

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Solution

The fourth proportional to 255,723.80, 383,552.10 and 78,248.60 is: 117,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,723.80 : 383,552.10 = 78,248.60 : x
  2. Step 2: Convert to fraction form
    255,723.80/383,552.10 = 78,248.60/x
  3. Step 3: Cross multiply
    255,723.80x = 383,552.10 × 78,248.60
  4. Step 4: Simplify right side
    255,723.80x = 30,012,414,852.06
  5. Step 5: Solve for x
    x = 30,012,414,852.06/255,723.80
  6. Step 6: Final answer
    x = 117,362.62

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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.