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Finding the Fourth Proportional to 140,510.72, 193,902.08 and 76,848.32

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Solution

The fourth proportional to 140,510.72, 193,902.08 and 76,848.32 is: 106,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,510.72 : 193,902.08 = 76,848.32 : x
  2. Step 2: Convert to fraction form
    140,510.72/193,902.08 = 76,848.32/x
  3. Step 3: Cross multiply
    140,510.72x = 193,902.08 × 76,848.32
  4. Step 4: Simplify right side
    140,510.72x = 14,901,049,092.51
  5. Step 5: Solve for x
    x = 14,901,049,092.51/140,510.72
  6. Step 6: Final answer
    x = 106,049.20

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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.