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Finding the Fourth Proportional to 364,811.76, 547,113.96 and 140,156.64

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Solution

The fourth proportional to 364,811.76, 547,113.96 and 140,156.64 is: 210,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,811.76 : 547,113.96 = 140,156.64 : x
  2. Step 2: Convert to fraction form
    364,811.76/547,113.96 = 140,156.64/x
  3. Step 3: Cross multiply
    364,811.76x = 547,113.96 × 140,156.64
  4. Step 4: Simplify right side
    364,811.76x = 76,681,654,330.69
  5. Step 5: Solve for x
    x = 76,681,654,330.69/364,811.76
  6. Step 6: Final answer
    x = 210,195.13

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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.