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Finding the Fourth Proportional to 140,423.63, 210,653.66 and 51,678.20

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Solution

The fourth proportional to 140,423.63, 210,653.66 and 51,678.20 is: 77,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,423.63 : 210,653.66 = 51,678.20 : x
  2. Step 2: Convert to fraction form
    140,423.63/210,653.66 = 51,678.20/x
  3. Step 3: Cross multiply
    140,423.63x = 210,653.66 × 51,678.20
  4. Step 4: Simplify right side
    140,423.63x = 10,886,202,628.04
  5. Step 5: Solve for x
    x = 10,886,202,628.04/140,423.63
  6. Step 6: Final answer
    x = 77,524.01

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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.