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Finding the Fourth Proportional to 156,093.90, 215,410.14 and 84,473.91

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Solution

The fourth proportional to 156,093.90, 215,410.14 and 84,473.91 is: 116,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,093.90 : 215,410.14 = 84,473.91 : x
  2. Step 2: Convert to fraction form
    156,093.90/215,410.14 = 84,473.91/x
  3. Step 3: Cross multiply
    156,093.90x = 215,410.14 × 84,473.91
  4. Step 4: Simplify right side
    156,093.90x = 18,196,536,779.45
  5. Step 5: Solve for x
    x = 18,196,536,779.45/156,093.90
  6. Step 6: Final answer
    x = 116,574.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.