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Finding the Fourth Proportional to 156,035.40, 215,328.87 and 84,415.38

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Solution

The fourth proportional to 156,035.40, 215,328.87 and 84,415.38 is: 116,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,035.40 : 215,328.87 = 84,415.38 : x
  2. Step 2: Convert to fraction form
    156,035.40/215,328.87 = 84,415.38/x
  3. Step 3: Cross multiply
    156,035.40x = 215,328.87 × 84,415.38
  4. Step 4: Simplify right side
    156,035.40x = 18,177,068,386.02
  5. Step 5: Solve for x
    x = 18,177,068,386.02/156,035.40
  6. Step 6: Final answer
    x = 116,493.23

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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.