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Finding the Fourth Proportional to 180,695.68, 271,079.52 and 56,032

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Solution

The fourth proportional to 180,695.68, 271,079.52 and 56,032 is: 84,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,695.68 : 271,079.52 = 56,032 : x
  2. Step 2: Convert to fraction form
    180,695.68/271,079.52 = 56,032/x
  3. Step 3: Cross multiply
    180,695.68x = 271,079.52 × 56,032
  4. Step 4: Simplify right side
    180,695.68x = 15,189,127,664.64
  5. Step 5: Solve for x
    x = 15,189,127,664.64/180,695.68
  6. Step 6: Final answer
    x = 84,059.16

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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.