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Finding the Fourth Proportional to 205,376.40, 308,064.60 and 148,951.80

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Solution

The fourth proportional to 205,376.40, 308,064.60 and 148,951.80 is: 223,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376.40 : 308,064.60 = 148,951.80 : x
  2. Step 2: Convert to fraction form
    205,376.40/308,064.60 = 148,951.80/x
  3. Step 3: Cross multiply
    205,376.40x = 308,064.60 × 148,951.80
  4. Step 4: Simplify right side
    205,376.40x = 45,886,776,686.28
  5. Step 5: Solve for x
    x = 45,886,776,686.28/205,376.40
  6. Step 6: Final answer
    x = 223,427.70

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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.