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Finding the Fourth Proportional to 180,697.68, 271,082.52 and 56,034

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Solution

The fourth proportional to 180,697.68, 271,082.52 and 56,034 is: 84,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,697.68 : 271,082.52 = 56,034 : x
  2. Step 2: Convert to fraction form
    180,697.68/271,082.52 = 56,034/x
  3. Step 3: Cross multiply
    180,697.68x = 271,082.52 × 56,034
  4. Step 4: Simplify right side
    180,697.68x = 15,189,837,925.68
  5. Step 5: Solve for x
    x = 15,189,837,925.68/180,697.68
  6. Step 6: Final answer
    x = 84,062.16

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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.