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Finding the Fourth Proportional to 257,079.17, 385,614.61 and 70,090.67

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Solution

The fourth proportional to 257,079.17, 385,614.61 and 70,090.67 is: 105,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,079.17 : 385,614.61 = 70,090.67 : x
  2. Step 2: Convert to fraction form
    257,079.17/385,614.61 = 70,090.67/x
  3. Step 3: Cross multiply
    257,079.17x = 385,614.61 × 70,090.67
  4. Step 4: Simplify right side
    257,079.17x = 27,027,986,376.69
  5. Step 5: Solve for x
    x = 27,027,986,376.69/257,079.17
  6. Step 6: Final answer
    x = 105,134.87

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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.