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Finding the Fourth Proportional to 156,582, 216,083.16 and 89,514

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Solution

The fourth proportional to 156,582, 216,083.16 and 89,514 is: 123,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,582 : 216,083.16 = 89,514 : x
  2. Step 2: Convert to fraction form
    156,582/216,083.16 = 89,514/x
  3. Step 3: Cross multiply
    156,582x = 216,083.16 × 89,514
  4. Step 4: Simplify right side
    156,582x = 19,342,467,984.24
  5. Step 5: Solve for x
    x = 19,342,467,984.24/156,582
  6. Step 6: Final answer
    x = 123,529.32

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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.