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Finding the Fourth Proportional to 109,852.16, 151,654.80 and 85,928

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Solution

The fourth proportional to 109,852.16, 151,654.80 and 85,928 is: 118,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,852.16 : 151,654.80 = 85,928 : x
  2. Step 2: Convert to fraction form
    109,852.16/151,654.80 = 85,928/x
  3. Step 3: Cross multiply
    109,852.16x = 151,654.80 × 85,928
  4. Step 4: Simplify right side
    109,852.16x = 13,031,393,654.40
  5. Step 5: Solve for x
    x = 13,031,393,654.40/109,852.16
  6. Step 6: Final answer
    x = 118,626.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.