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Finding the Fourth Proportional to 140,699.84, 211,073.72 and 51,953.81

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Solution

The fourth proportional to 140,699.84, 211,073.72 and 51,953.81 is: 77,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,699.84 : 211,073.72 = 51,953.81 : x
  2. Step 2: Convert to fraction form
    140,699.84/211,073.72 = 51,953.81/x
  3. Step 3: Cross multiply
    140,699.84x = 211,073.72 × 51,953.81
  4. Step 4: Simplify right side
    140,699.84x = 10,966,082,629.74
  5. Step 5: Solve for x
    x = 10,966,082,629.74/140,699.84
  6. Step 6: Final answer
    x = 77,939.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.