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Finding the Fourth Proportional to 140,724.88, 211,113.88 and 56,491.63

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Solution

The fourth proportional to 140,724.88, 211,113.88 and 56,491.63 is: 84,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,724.88 : 211,113.88 = 56,491.63 : x
  2. Step 2: Convert to fraction form
    140,724.88/211,113.88 = 56,491.63/x
  3. Step 3: Cross multiply
    140,724.88x = 211,113.88 × 56,491.63
  4. Step 4: Simplify right side
    140,724.88x = 11,926,166,527.81
  5. Step 5: Solve for x
    x = 11,926,166,527.81/140,724.88
  6. Step 6: Final answer
    x = 84,748.10

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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.