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Finding the Fourth Proportional to 175,099.68, 262,655.28 and 56,772

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Solution

The fourth proportional to 175,099.68, 262,655.28 and 56,772 is: 85,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,099.68 : 262,655.28 = 56,772 : x
  2. Step 2: Convert to fraction form
    175,099.68/262,655.28 = 56,772/x
  3. Step 3: Cross multiply
    175,099.68x = 262,655.28 × 56,772
  4. Step 4: Simplify right side
    175,099.68x = 14,911,465,556.16
  5. Step 5: Solve for x
    x = 14,911,465,556.16/175,099.68
  6. Step 6: Final answer
    x = 85,159.87

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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.