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Finding the Fourth Proportional to 156,085.36, 215,397.80 and 84,465.38

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Solution

The fourth proportional to 156,085.36, 215,397.80 and 84,465.38 is: 116,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,085.36 : 215,397.80 = 84,465.38 : x
  2. Step 2: Convert to fraction form
    156,085.36/215,397.80 = 84,465.38/x
  3. Step 3: Cross multiply
    156,085.36x = 215,397.80 × 84,465.38
  4. Step 4: Simplify right side
    156,085.36x = 18,193,657,461.08
  5. Step 5: Solve for x
    x = 18,193,657,461.08/156,085.36
  6. Step 6: Final answer
    x = 116,562.23

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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.