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Finding the Fourth Proportional to 156,029.28, 215,320.14 and 84,409.08

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Solution

The fourth proportional to 156,029.28, 215,320.14 and 84,409.08 is: 116,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,029.28 : 215,320.14 = 84,409.08 : x
  2. Step 2: Convert to fraction form
    156,029.28/215,320.14 = 84,409.08/x
  3. Step 3: Cross multiply
    156,029.28x = 215,320.14 × 84,409.08
  4. Step 4: Simplify right side
    156,029.28x = 18,174,974,922.87
  5. Step 5: Solve for x
    x = 18,174,974,922.87/156,029.28
  6. Step 6: Final answer
    x = 116,484.39

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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.