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Finding the Fourth Proportional to 107,768.32, 161,947.84 and 101,654.40

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Solution

The fourth proportional to 107,768.32, 161,947.84 and 101,654.40 is: 152,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,768.32 : 161,947.84 = 101,654.40 : x
  2. Step 2: Convert to fraction form
    107,768.32/161,947.84 = 101,654.40/x
  3. Step 3: Cross multiply
    107,768.32x = 161,947.84 × 101,654.40
  4. Step 4: Simplify right side
    107,768.32x = 16,462,710,506.50
  5. Step 5: Solve for x
    x = 16,462,710,506.50/107,768.32
  6. Step 6: Final answer
    x = 152,760.20

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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.