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Finding the Fourth Proportional to 205,196.40, 308,261.67 and 148,445.35

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Solution

The fourth proportional to 205,196.40, 308,261.67 and 148,445.35 is: 223,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,196.40 : 308,261.67 = 148,445.35 : x
  2. Step 2: Convert to fraction form
    205,196.40/308,261.67 = 148,445.35/x
  3. Step 3: Cross multiply
    205,196.40x = 308,261.67 × 148,445.35
  4. Step 4: Simplify right side
    205,196.40x = 45,760,011,865.85
  5. Step 5: Solve for x
    x = 45,760,011,865.85/205,196.40
  6. Step 6: Final answer
    x = 223,005.92

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