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Finding the Fourth Proportional to 140,274.24, 210,463.20 and 51,585.72

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Solution

The fourth proportional to 140,274.24, 210,463.20 and 51,585.72 is: 77,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,274.24 : 210,463.20 = 51,585.72 : x
  2. Step 2: Convert to fraction form
    140,274.24/210,463.20 = 51,585.72/x
  3. Step 3: Cross multiply
    140,274.24x = 210,463.20 × 51,585.72
  4. Step 4: Simplify right side
    140,274.24x = 10,856,895,705.50
  5. Step 5: Solve for x
    x = 10,856,895,705.50/140,274.24
  6. Step 6: Final answer
    x = 77,397.64

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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.